86557865040 has 480 divisors, whose sum is σ = 317437245216. Its totient is φ = 21050818560.

The previous prime is 86557865029. The next prime is 86557865089. The reversal of 86557865040 is 4056875568.

86557865040 is a `hidden beast` number, since 8 + 6 + 5 + 57 + 86 + 504 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2100205584 + 84457659456 = 45828^2 + 290616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86817822 + ... + 86818818.

Almost surely, 2^86557865040 is an apocalyptic number.

86557865040 is a gapful number since it is divisible by the number (80) 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 86557865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158718622608).

86557865040 is an abundant number, since it is smaller than the sum of its proper divisors (230879380176).

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

86557865040 is a wasteful number, since it uses less digits than its factorization.

86557865040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 86557865040 in words is "eighty-six billion, five hundred fifty-seven million, eight hundred sixty-five thousand, forty".