52475481907200 has 2016 divisors, whose sum is σ = 217338765321600. Its totient is φ = 11968708608000.

The previous prime is 52475481907151. The next prime is 52475481907217. The reversal of 52475481907200 is 270918457425.

52475481907200 is a `hidden beast` number, since 5 + 2 + 4 + 7 + 5 + 481 + 90 + 72 + 0 + 0 = 666.

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, 68955954820 + ... + 68955955580.

Almost surely, 2^{52475481907200} is an apocalyptic number.

52475481907200 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 52475481907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108669382660800).

52475481907200 is an abundant number, since it is smaller than the sum of its proper divisors (164863283414400).

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

52475481907200 is a wasteful number, since it uses less digits than its factorization.

52475481907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 52475481907200 in words is "fifty-two trillion, four hundred seventy-five billion, four hundred eighty-one million, nine hundred seven thousand, two hundred".