872688504776832 has 256 divisors, whose sum is σ = 2577773024304000. Its totient is φ = 290655682560000.

The previous prime is 872688504776821. The next prime is 872688504776843. The reversal of 872688504776832 is 238677405886278.

872688504776832 is a `hidden beast` number, since 8 + 7 + 2 + 6 + 8 + 8 + 50 + 477 + 68 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (872688504776821) and next prime (872688504776843).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57897458448 + ... + 57897473520.

Almost surely, 2^{872688504776832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872688504776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288886512152000).

872688504776832 is an abundant number, since it is smaller than the sum of its proper divisors (1705084519527168).

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

872688504776832 is a wasteful number, since it uses less digits than its factorization.

872688504776832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27836 (or 27818 counting only the distinct ones).

The product of its (nonzero) digits is 12138577920, while the sum is 81.

The spelling of 872688504776832 in words is "eight hundred seventy-two trillion, six hundred eighty-eight billion, five hundred four million, seven hundred seventy-six thousand, eight hundred thirty-two".