86506574400 has 945 divisors, whose sum is σ = 343578812841. Its totient is φ = 21346053120.

The previous prime is 86506574393. The next prime is 86506574431. The reversal of 86506574400 is 447560568.

The square root of 86506574400 is 294120.

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

It can be written as a sum of positive squares in only one way, i.e., 31142366784 + 55364207616 = 176472^2 + 235296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2011780779 + ... + 2011780821.

Almost surely, 2^86506574400 is an apocalyptic number.

86506574400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86506574400 is the 294120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86506574400

86506574400 is an abundant number, since it is smaller than the sum of its proper divisors (257072238441).

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

86506574400 is a wasteful number, since it uses less digits than its factorization.

86506574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 86506574400 in words is "eighty-six billion, five hundred six million, five hundred seventy-four thousand, four hundred".