52288113225600 has 1152 divisors, whose sum is σ = 223996788288000. Its totient is φ = 11355060879360.

The previous prime is 52288113225599. The next prime is 52288113225683. The reversal of 52288113225600 is 652231188225.

52288113225600 is a `hidden beast` number, since 5 + 2 + 2 + 8 + 8 + 1 + 1 + 32 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 690845359 + ... + 690921041.

It is an arithmetic number, because the mean of its divisors is an integer number (194441656500).

Almost surely, 2^{52288113225600} is an apocalyptic number.

52288113225600 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 52288113225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111998394144000).

52288113225600 is an abundant number, since it is smaller than the sum of its proper divisors (171708675062400).

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

52288113225600 is a wasteful number, since it uses less digits than its factorization.

52288113225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75892 (or 75872 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 52288113225600 in words is "fifty-two trillion, two hundred eighty-eight billion, one hundred thirteen million, two hundred twenty-five thousand, six hundred".