1046875152960 has 1008 divisors, whose sum is σ = 4573288517616. Its totient is φ = 217825542144.

The previous prime is 1046875152941. The next prime is 1046875152979. The reversal of 1046875152960 is 692515786401.

It is a happy number.

1046875152960 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 8 + 7 + 51 + 529 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1046875152941) and next prime (1046875152979).

It can be written as a sum of positive squares in 8 ways, for example, as 334768702464 + 712106450496 = 578592^2 + 843864^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-4 number, since 4×1046875152960⁴ (a number of 49 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1046875152897 and 1046875152906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133918972 + ... + 133926788.

It is an arithmetic number, because the mean of its divisors is an integer number (4536992577).

Almost surely, 2^{1046875152960} is an apocalyptic number.

1046875152960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046875152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286644258808).

1046875152960 is an abundant number, since it is smaller than the sum of its proper divisors (3526413364656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1046875152960 is a wasteful number, since it uses less digits than its factorization.

1046875152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1046875152960 in words is "one trillion, forty-six billion, eight hundred seventy-five million, one hundred fifty-two thousand, nine hundred sixty".