53305574400 has 891 divisors, whose sum is σ = 212406633621. Its totient is φ = 12766740480.

The previous prime is 53305574389. The next prime is 53305574423. The reversal of 53305574400 is 447550335.

The square root of 53305574400 is 230880.

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

53305574400 is a `hidden beast` number, since 53 + 30 + 5 + 574 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 30762353664 + 22543220736 = 175392^2 + 150144^2 .

It is a super-2 number, since 2×53305574400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1440691182 + ... + 1440691218.

Almost surely, 2^53305574400 is an apocalyptic number.

53305574400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53305574400 is the 230880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53305574400

53305574400 is an abundant number, since it is smaller than the sum of its proper divisors (159101059221).

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

53305574400 is a wasteful number, since it uses less digits than its factorization.

53305574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

Multiplying 53305574400 by its sum of digits (36), we get a square (1919000678400 = 1385280²).

53305574400 divided by its sum of digits (36) gives a square (1480710400 = 38480²).

The spelling of 53305574400 in words is "fifty-three billion, three hundred five million, five hundred seventy-four thousand, four hundred".