52914425600 has 432 divisors, whose sum is σ = 142559875584. Its totient is φ = 19396608000.

The previous prime is 52914425569. The next prime is 52914425657. The reversal of 52914425600 is 652441925.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637523159 + ... + 637523241.

It is an arithmetic number, because the mean of its divisors is an integer number (329999712).

Almost surely, 2^52914425600 is an apocalyptic number.

52914425600 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 52914425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71279937792).

52914425600 is an abundant number, since it is smaller than the sum of its proper divisors (89645449984).

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

52914425600 is a wasteful number, since it uses less digits than its factorization.

52914425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 52914425600 in words is "fifty-two billion, nine hundred fourteen million, four hundred twenty-five thousand, six hundred".