56682086400 has 513 divisors, whose sum is σ = 209808647373. Its totient is φ = 14627635200.

The previous prime is 56682086389. The next prime is 56682086459. The reversal of 56682086400 is 468028665.

The square root of 56682086400 is 238080.

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

56682086400 is a `hidden beast` number, since 566 + 8 + 2 + 0 + 86 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20405551104 + 36276535296 = 142848^2 + 190464^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1828454385 + ... + 1828454415.

Almost surely, 2^56682086400 is an apocalyptic number.

56682086400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56682086400 is the 238080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56682086400

56682086400 is an abundant number, since it is smaller than the sum of its proper divisors (153126560973).

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

56682086400 is an frugal number, since it uses more digits than its factorization.

56682086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 56682086400 in words is "fifty-six billion, six hundred eighty-two million, eighty-six thousand, four hundred".