1046755860480 has 1008 divisors, whose sum is σ = 4122482861952. Its totient is φ = 245248819200.

The previous prime is 1046755860461. The next prime is 1046755860497. The reversal of 1046755860480 is 840685576401.

1046755860480 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 7 + 558 + 6 + 0 + 4 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1382768262 + ... + 1382769018.

It is an arithmetic number, because the mean of its divisors is an integer number (4089764744).

Almost surely, 2^{1046755860480} is an apocalyptic number.

1046755860480 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 1046755860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061241430976).

1046755860480 is an abundant number, since it is smaller than the sum of its proper divisors (3075727001472).

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

1046755860480 is a wasteful number, since it uses less digits than its factorization.

1046755860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1046755860480 in words is "one trillion, forty-six billion, seven hundred fifty-five million, eight hundred sixty thousand, four hundred eighty".