52749043200 has 360 divisors, whose sum is σ = 215745314928. Its totient is φ = 12056739840.

The previous prime is 52749043187. The next prime is 52749043247. The reversal of 52749043200 is 234094725.

52749043200 is a `hidden beast` number, since 527 + 4 + 90 + 43 + 2 + 0 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 773694 + ... + 839106.

Almost surely, 2^52749043200 is an apocalyptic number.

52749043200 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 52749043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107872657464).

52749043200 is an abundant number, since it is smaller than the sum of its proper divisors (162996271728).

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

52749043200 is a wasteful number, since it uses less digits than its factorization.

52749043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65454 (or 65430 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 52749043200 in words is "fifty-two billion, seven hundred forty-nine million, forty-three thousand, two hundred".