53972582400 has 675 divisors, whose sum is σ = 212668151605. Its totient is φ = 13084262400.

The previous prime is 53972582387. The next prime is 53972582401. The reversal of 53972582400 is 428527935.

The square root of 53972582400 is 232320.

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

53972582400 is a `hidden beast` number, since 5 + 397 + 258 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19430129664 + 34542452736 = 139392^2 + 185856^2 .

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 (53972582401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4906598395 + ... + 4906598405.

Almost surely, 2^53972582400 is an apocalyptic number.

53972582400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53972582400 is the 232320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53972582400

53972582400 is an abundant number, since it is smaller than the sum of its proper divisors (158695569205).

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

53972582400 is an frugal number, since it uses more digits than its factorization.

53972582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 53972582400 in words is "fifty-three billion, nine hundred seventy-two million, five hundred eighty-two thousand, four hundred".