86037236800 has 168 divisors, whose sum is σ = 213989241312. Its totient is φ = 34045440000.

The previous prime is 86037236773. The next prime is 86037236851. The reversal of 86037236800 is 863273068.

It is a super-2 number, since 2×86037236800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125969259 + ... + 125969941.

It is an arithmetic number, because the mean of its divisors is an integer number (1273745484).

Almost surely, 2^86037236800 is an apocalyptic number.

86037236800 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 86037236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106994620656).

86037236800 is an abundant number, since it is smaller than the sum of its proper divisors (127952004512).

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

86037236800 is a wasteful number, since it uses less digits than its factorization.

86037236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 86037236800 in words is "eighty-six billion, thirty-seven million, two hundred thirty-six thousand, eight hundred".