872916229785600 has 20736 divisors, whose sum is σ = 5097457341849600. Its totient is φ = 144473849856000.

The previous prime is 872916229785571. The next prime is 872916229785643. The reversal of 872916229785600 is 6587922619278.

872916229785600 is a `hidden beast` number, since 8 + 7 + 2 + 9 + 1 + 6 + 2 + 2 + 9 + 7 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (20736).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 28158588057585 + ... + 28158588057615.

It is an arithmetic number, because the mean of its divisors is an integer number (245826453600).

Almost surely, 2^{872916229785600} is an apocalyptic number.

872916229785600 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 872916229785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548728670924800).

872916229785600 is an abundant number, since it is smaller than the sum of its proper divisors (4224541112064000).

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

872916229785600 is a wasteful number, since it uses less digits than its factorization.

872916229785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 872916229785600 in words is "eight hundred seventy-two trillion, nine hundred sixteen billion, two hundred twenty-nine million, seven hundred eighty-five thousand, six hundred".