1023081672960 has 432 divisors, whose sum is σ = 3945253253760. Its totient is φ = 243258163200.

The previous prime is 1023081672937. The next prime is 1023081672983. The reversal of 1023081672960 is 692761803201.

1023081672960 is a `hidden beast` number, since 102 + 308 + 167 + 29 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1023081672937) and next prime (1023081672983).

It is a super-2 number, since 2×1023081672960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3583485 + ... + 3858435.

It is an arithmetic number, because the mean of its divisors is an integer number (9132530680).

Almost surely, 2^{1023081672960} is an apocalyptic number.

1023081672960 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 1023081672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972626626880).

1023081672960 is an abundant number, since it is smaller than the sum of its proper divisors (2922171580800).

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

1023081672960 is a wasteful number, since it uses less digits than its factorization.

1023081672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275014 (or 274997 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1023081672960 in words is "one trillion, twenty-three billion, eighty-one million, six hundred seventy-two thousand, nine hundred sixty".