52628475600 has 240 divisors, whose sum is σ = 191305731840. Its totient is φ = 13735526400.

The previous prime is 52628475563. The next prime is 52628475623. The reversal of 52628475600 is 657482625.

52628475600 is a `hidden beast` number, since 5 + 2 + 6 + 2 + 84 + 7 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 455760 + ... + 559440.

It is an arithmetic number, because the mean of its divisors is an integer number (797107216).

Almost surely, 2^52628475600 is an apocalyptic number.

52628475600 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 52628475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95652865920).

52628475600 is an abundant number, since it is smaller than the sum of its proper divisors (138677256240).

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

52628475600 is a wasteful number, since it uses less digits than its factorization.

52628475600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103755 (or 103738 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 52628475600 in words is "fifty-two billion, six hundred twenty-eight million, four hundred seventy-five thousand, six hundred".