86561438745600 has 4455 divisors, whose sum is σ = 409512011743791. Its totient is φ = 18006279782400.

The previous prime is 86561438745581. The next prime is 86561438745611. The reversal of 86561438745600 is 654783416568.

The square root of 86561438745600 is 9303840.

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

86561438745600 is a `hidden beast` number, since 8 + 6 + 5 + 6 + 14 + 3 + 8 + 7 + 4 + 5 + 600 = 666.

86561438745600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22311338886144 + 64250099859456 = 4723488^2 + 8015616^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1219175193565 + ... + 1219175193635.

Almost surely, 2^{86561438745600} is an apocalyptic number.

86561438745600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86561438745600 is the 9303840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86561438745600

86561438745600 is an abundant number, since it is smaller than the sum of its proper divisors (322950572998191).

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

86561438745600 is a wasteful number, since it uses less digits than its factorization.

86561438745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 86561438745600 in words is "eighty-six trillion, five hundred sixty-one billion, four hundred thirty-eight million, seven hundred forty-five thousand, six hundred".