85615315632 has 240 divisors, whose sum is σ = 308709130240. Its totient is φ = 22237649280.

The previous prime is 85615315609. The next prime is 85615315651. The reversal of 85615315632 is 23651351658.

85615315632 is a `hidden beast` number, since 8 + 5 + 6 + 1 + 5 + 3 + 1 + 5 + 632 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248913 + ... + 482895.

Almost surely, 2^85615315632 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 85615315632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154354565120).

85615315632 is an abundant number, since it is smaller than the sum of its proper divisors (223093814608).

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

85615315632 is a wasteful number, since it uses less digits than its factorization.

85615315632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234029 (or 234006 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 85615315632 in words is "eighty-five billion, six hundred fifteen million, three hundred fifteen thousand, six hundred thirty-two".