52955214400 has 189 divisors, whose sum is σ = 143499905913. Its totient is φ = 19219622400.

The previous prime is 52955214397. The next prime is 52955214427. The reversal of 52955214400 is 441255925.

The square root of 52955214400 is 230120.

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., 19063877184 + 33891337216 = 138072^2 + 184096^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52955214400.

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, 101252539 + ... + 101253061.

Almost surely, 2^52955214400 is an apocalyptic number.

52955214400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52955214400 is the 230120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52955214400

52955214400 is an abundant number, since it is smaller than the sum of its proper divisors (90544691513).

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

52955214400 is an equidigital number, since it uses as much as digits as its factorization.

52955214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 52955214400 in words is "fifty-two billion, nine hundred fifty-five million, two hundred fourteen thousand, four hundred".