86067139200 has 192 divisors, whose sum is σ = 323981555520. Its totient is φ = 19672473600.

The previous prime is 86067139177. The next prime is 86067139273. The reversal of 86067139200 is 293176068.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 573181 + ... + 707580.

It is an arithmetic number, because the mean of its divisors is an integer number (1687403935).

Almost surely, 2^86067139200 is an apocalyptic number.

86067139200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86067139200 is an abundant number, since it is smaller than the sum of its proper divisors (237914416320).

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

86067139200 is a wasteful number, since it uses less digits than its factorization.

86067139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280795 (or 1280778 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 86067139200 in words is "eighty-six billion, sixty-seven million, one hundred thirty-nine thousand, two hundred".