85787615232 has 336 divisors, whose sum is σ = 272647196640. Its totient is φ = 25775308800.

The previous prime is 85787615171. The next prime is 85787615233. The reversal of 85787615232 is 23251678758.

85787615232 is a `hidden beast` number, since 8 + 57 + 8 + 7 + 61 + 523 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (85787615233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112729732 + ... + 112730492.

It is an arithmetic number, because the mean of its divisors is an integer number (811449990).

Almost surely, 2^85787615232 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 85787615232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136323598320).

85787615232 is an abundant number, since it is smaller than the sum of its proper divisors (186859581408).

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

85787615232 is a wasteful number, since it uses less digits than its factorization.

85787615232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 916 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 85787615232 in words is "eighty-five billion, seven hundred eighty-seven million, six hundred fifteen thousand, two hundred thirty-two".