86365944000 has 1344 divisors, whose sum is σ = 385715865600. Its totient is φ = 17998848000.

The previous prime is 86365943969. The next prime is 86365944013. The reversal of 86365944000 is 44956368.

86365944000 is a `hidden beast` number, since 8 + 636 + 5 + 9 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×86365944000² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 277703845 + ... + 277704155.

Almost surely, 2^86365944000 is an apocalyptic number.

86365944000 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 86365944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192857932800).

86365944000 is an abundant number, since it is smaller than the sum of its proper divisors (299349921600).

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

86365944000 is a wasteful number, since it uses less digits than its factorization.

86365944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 86365944000 in words is "eighty-six billion, three hundred sixty-five million, nine hundred forty-four thousand".