86856839596800 has 1620 divisors, whose sum is σ = 390141462254544. Its totient is φ = 18325459353600.

The previous prime is 86856839596721. The next prime is 86856839596837. The reversal of 86856839596800 is 869593865868.

86856839596800 is a `hidden beast` number, since 8 + 6 + 8 + 5 + 68 + 395 + 96 + 80 + 0 = 666.

It is a super-2 number, since 2×86856839596800² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86856839596800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1797844645 + ... + 1797892955.

Almost surely, 2^{86856839596800} is an apocalyptic number.

86856839596800 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 86856839596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195070731127272).

86856839596800 is an abundant number, since it is smaller than the sum of its proper divisors (303284622657744).

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

86856839596800 is a wasteful number, since it uses less digits than its factorization.

86856839596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48384 (or 48341 counting only the distinct ones).

The product of its (nonzero) digits is 5374771200, while the sum is 81.

The spelling of 86856839596800 in words is "eighty-six trillion, eight hundred fifty-six billion, eight hundred thirty-nine million, five hundred ninety-six thousand, eight hundred".