85051415232 has 336 divisors, whose sum is σ = 294472095840. Its totient is φ = 24298444800.

The previous prime is 85051415177. The next prime is 85051415243. The reversal of 85051415232 is 23251415058.

85051415232 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 1 + 415 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×85051415232² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 6852232 + ... + 6864632.

Almost surely, 2^85051415232 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 85051415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147236047920).

85051415232 is an abundant number, since it is smaller than the sum of its proper divisors (209420680608).

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

85051415232 is an equidigital number, since it uses as much as digits as its factorization.

85051415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12448 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 85051415232 in words is "eighty-five billion, fifty-one million, four hundred fifteen thousand, two hundred thirty-two".