86631790064400 has 2025 divisors, whose sum is σ = 370245689115951. Its totient is φ = 19343170344960.

The previous prime is 86631790064389. The next prime is 86631790064423. The reversal of 86631790064400 is 446009713668.

The square root of 86631790064400 is 9307620.

It is a perfect power (a square), and thus also a powerful number.

86631790064400 is a `hidden beast` number, since 8 + 6 + 6 + 3 + 179 + 0 + 0 + 64 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18028074418704 + 68603715645696 = 4245948^2 + 8282736^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a super-2 number, since 2×86631790064400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 973390899556 + ... + 973390899644.

Almost surely, 2^{86631790064400} is an apocalyptic number.

86631790064400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86631790064400 is the 9307620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86631790064400

86631790064400 is an abundant number, since it is smaller than the sum of its proper divisors (283613899051551).

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

86631790064400 is an equidigital number, since it uses as much as digits as its factorization.

86631790064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 86631790064400 in words is "eighty-six trillion, six hundred thirty-one billion, seven hundred ninety million, sixty-four thousand, four hundred".