52125688581120 has 7920 divisors, whose sum is σ = 267687071356320. Its totient is φ = 9613753712640.

The previous prime is 52125688581073. The next prime is 52125688581173. The reversal of 52125688581120 is 2118588652125.

52125688581120 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 56 + 8 + 8 + 581 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1212225315819 + ... + 1212225315861.

It is an arithmetic number, because the mean of its divisors is an integer number (33798872646).

Almost surely, 2^{52125688581120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52125688581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133843535678160).

52125688581120 is an abundant number, since it is smaller than the sum of its proper divisors (215561382775200).

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

52125688581120 is a wasteful number, since it uses less digits than its factorization.

52125688581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 52125688581120 in words is "fifty-two trillion, one hundred twenty-five billion, six hundred eighty-eight million, five hundred eighty-one thousand, one hundred twenty".