86541640157360 has 40 divisors (see below), whose sum is σ = 201663510544080. Its totient is φ = 34538514612992.

The previous prime is 86541640157341. The next prime is 86541640157383. The reversal of 86541640157360 is 6375104614568.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×86541640157360² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86541640157296 and 86541640157305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1220924495 + ... + 1220995374.

It is an arithmetic number, because the mean of its divisors is an integer number (5041587763602).

Almost surely, 2^{86541640157360} is an apocalyptic number.

86541640157360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86541640157360 is an abundant number, since it is smaller than the sum of its proper divisors (115121870386720).

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

86541640157360 is a wasteful number, since it uses less digits than its factorization.

86541640157360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441920325 (or 2441920319 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 56.

The spelling of 86541640157360 in words is "eighty-six trillion, five hundred forty-one billion, six hundred forty million, one hundred fifty-seven thousand, three hundred sixty".