86541872400 has 135 divisors (see below), whose sum is σ = 300385602309. Its totient is φ = 23073125760.

The previous prime is 86541872383. The next prime is 86541872407. The reversal of 86541872400 is 427814568.

The square root of 86541872400 is 294180.

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

86541872400 is a `hidden beast` number, since 8 + 6 + 541 + 87 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31155074064 + 55386798336 = 176508^2 + 235344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (86541872407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17648349 + ... + 17653251.

Almost surely, 2^86541872400 is an apocalyptic number.

86541872400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86541872400 is the 294180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86541872400

86541872400 is an abundant number, since it is smaller than the sum of its proper divisors (213843729909).

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

86541872400 is an equidigital number, since it uses as much as digits as its factorization.

86541872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9830 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 86541872400 in words is "eighty-six billion, five hundred forty-one million, eight hundred seventy-two thousand, four hundred".