86477164900 has 81 divisors (see below), whose sum is σ = 218345046507. Its totient is φ = 29642256000.

The previous prime is 86477164877. The next prime is 86477164931. The reversal of 86477164900 is 946177468.

The square root of 86477164900 is 294070.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34759127844 + 51718037056 = 186438^2 + 227416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20582800 + ... + 20587000.

Almost surely, 2^86477164900 is an apocalyptic number.

86477164900 is the 294070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86477164900

86477164900 is an abundant number, since it is smaller than the sum of its proper divisors (131867881607).

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

86477164900 is an equidigital number, since it uses as much as digits as its factorization.

86477164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8430 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 86477164900 in words is "eighty-six billion, four hundred seventy-seven million, one hundred sixty-four thousand, nine hundred".