875832264000 has 896 divisors, whose sum is σ = 3289197749760. Its totient is φ = 230965862400.

The previous prime is 875832263989. The next prime is 875832264029. The reversal of 875832264000 is 462238578.

875832264000 is a `hidden beast` number, since 8 + 7 + 583 + 2 + 2 + 64 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1977047779 + ... + 1977048221.

Almost surely, 2^875832264000 is an apocalyptic number.

875832264000 is a gapful number since it is divisible by the number (80) 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 875832264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644598874880).

875832264000 is an abundant number, since it is smaller than the sum of its proper divisors (2413365485760).

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

875832264000 is an equidigital number, since it uses as much as digits as its factorization.

875832264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 875832264000 in words is "eight hundred seventy-five billion, eight hundred thirty-two million, two hundred sixty-four thousand".