52405189200 has 720 divisors, whose sum is σ = 224960351616. Its totient is φ = 11001139200.

The previous prime is 52405189157. The next prime is 52405189217. The reversal of 52405189200 is 298150425.

52405189200 is a `hidden beast` number, since 52 + 4 + 0 + 518 + 92 + 0 + 0 = 666.

52405189200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 113676970 + ... + 113677430.

Almost surely, 2^52405189200 is an apocalyptic number.

52405189200 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 52405189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112480175808).

52405189200 is an abundant number, since it is smaller than the sum of its proper divisors (172555162416).

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

52405189200 is a wasteful number, since it uses less digits than its factorization.

52405189200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 52405189200 in words is "fifty-two billion, four hundred five million, one hundred eighty-nine thousand, two hundred".