86288137844220 has 144 divisors (see below), whose sum is σ = 294130000487232. Its totient is φ = 20316671907840.

The previous prime is 86288137844119. The next prime is 86288137844281. The reversal of 86288137844220 is 2244873188268.

86288137844220 is a `hidden beast` number, since 8 + 6 + 28 + 81 + 3 + 78 + 442 + 20 = 666.

It is a super-2 number, since 2×86288137844220² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801582541 + ... + 801690180.

It is an arithmetic number, because the mean of its divisors is an integer number (2042569447828).

Almost surely, 2^{86288137844220} is an apocalyptic number.

It is an amenable number.

86288137844220 is an abundant number, since it is smaller than the sum of its proper divisors (207841862643012).

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

86288137844220 is a wasteful number, since it uses less digits than its factorization.

86288137844220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603272772 (or 1603272767 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 86288137844220 in words is "eighty-six trillion, two hundred eighty-eight billion, one hundred thirty-seven million, eight hundred forty-four thousand, two hundred twenty".