86855530118800 has 30 divisors (see below), whose sum is σ = 208670411111378. Its totient is φ = 34742212047360.

The previous prime is 86855530118663. The next prime is 86855530118809. The reversal of 86855530118800 is 881103555868.

It can be written as a sum of positive squares in 3 ways, for example, as 16167631104 + 86839362487696 = 127152^2 + 9318764^2 .

It is a super-2 number, since 2×86855530118800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86855530118809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108569412249 + ... + 108569413048.

Almost surely, 2^{86855530118800} is an apocalyptic number.

86855530118800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86855530118800 is an abundant number, since it is smaller than the sum of its proper divisors (121814880992578).

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

86855530118800 is a wasteful number, since it uses less digits than its factorization.

86855530118800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217138825315 (or 217138825304 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 58.

The spelling of 86855530118800 in words is "eighty-six trillion, eight hundred fifty-five billion, five hundred thirty million, one hundred eighteen thousand, eight hundred".