86597553768 has 192 divisors, whose sum is σ = 243053982720. Its totient is φ = 25497763200.

The previous prime is 86597553739. The next prime is 86597553803. The reversal of 86597553768 is 86735579568.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95057233 + ... + 95058143.

It is an arithmetic number, because the mean of its divisors is an integer number (1265906160).

Almost surely, 2^86597553768 is an apocalyptic number.

86597553768 is a gapful number since it is divisible by the number (88) 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 86597553768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121526991360).

86597553768 is an abundant number, since it is smaller than the sum of its proper divisors (156456428952).

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

86597553768 is a wasteful number, since it uses less digits than its factorization.

86597553768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1137 counting only the distinct ones).

The product of its digits is 381024000, while the sum is 69.

The spelling of 86597553768 in words is "eighty-six billion, five hundred ninety-seven million, five hundred fifty-three thousand, seven hundred sixty-eight".