86124267360 has 120 divisors (see below), whose sum is σ = 303946939296. Its totient is φ = 22966467840.

The previous prime is 86124267353. The next prime is 86124267373. The reversal of 86124267360 is 6376242168.

86124267360 is a `hidden beast` number, since 8 + 6 + 1 + 24 + 267 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×86124267360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3309736 + ... + 3335655.

Almost surely, 2^86124267360 is an apocalyptic number.

86124267360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86124267360 is an abundant number, since it is smaller than the sum of its proper divisors (217822671936).

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

86124267360 is a wasteful number, since it uses less digits than its factorization.

86124267360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645418 (or 6645401 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 86124267360 in words is "eighty-six billion, one hundred twenty-four million, two hundred sixty-seven thousand, three hundred sixty".