52325575564800 has 480 divisors, whose sum is σ = 177519327321600. Its totient is φ = 13580226396160.

The previous prime is 52325575564783. The next prime is 52325575564817. The reversal of 52325575564800 is 846557552325.

It is an interprime number because it is at equal distance from previous prime (52325575564783) and next prime (52325575564817).

It is a tau number, because it is divible by the number of its divisors (480).

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, 322978216 + ... + 323140184.

It is an arithmetic number, because the mean of its divisors is an integer number (369831931920).

Almost surely, 2^{52325575564800} is an apocalyptic number.

52325575564800 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 52325575564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88759663660800).

52325575564800 is an abundant number, since it is smaller than the sum of its proper divisors (125193751756800).

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

52325575564800 is a wasteful number, since it uses less digits than its factorization.

52325575564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162226 (or 162205 counting only the distinct ones).

The product of its (nonzero) digits is 50400000, while the sum is 57.

The spelling of 52325575564800 in words is "fifty-two trillion, three hundred twenty-five billion, five hundred seventy-five million, five hundred sixty-four thousand, eight hundred".