872835179521536 has 1600 divisors, whose sum is σ = 3440999070964224. Its totient is φ = 213255526809600.

The previous prime is 872835179521511. The next prime is 872835179521549. The reversal of 872835179521536 is 635125971538278.

It is a happy number.

872835179521536 is a `hidden beast` number, since 8 + 7 + 2 + 8 + 3 + 517 + 9 + 52 + 1 + 53 + 6 = 666.

It is a super-2 number, since 2×872835179521536² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134468519251 + ... + 134468525741.

Almost surely, 2^{872835179521536} 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 872835179521536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720499535482112).

872835179521536 is an abundant number, since it is smaller than the sum of its proper divisors (2568163891442688).

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

872835179521536 is a wasteful number, since it uses less digits than its factorization.

872835179521536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9008 counting only the distinct ones).

The product of its digits is 762048000, while the sum is 72.

The spelling of 872835179521536 in words is "eight hundred seventy-two trillion, eight hundred thirty-five billion, one hundred seventy-nine million, five hundred twenty-one thousand, five hundred thirty-six".