52254979200 has 360 divisors, whose sum is σ = 193262791755. Its totient is φ = 13903626240.

The previous prime is 52254979199. The next prime is 52254979213. The reversal of 52254979200 is 297945225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

52254979200 is a `hidden beast` number, since 52 + 25 + 497 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 24568681536 + 27686297664 = 156744^2 + 166392^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=161640.

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 44 ways as a sum of consecutive naturals, for example, 116380576 + ... + 116381024.

Almost surely, 2^52254979200 is an apocalyptic number.

52254979200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52254979200

52254979200 is an abundant number, since it is smaller than the sum of its proper divisors (141007812555).

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

52254979200 is an frugal number, since it uses more digits than its factorization.

52254979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 52254979200 in words is "fifty-two billion, two hundred fifty-four million, nine hundred seventy-nine thousand, two hundred".