52395686872128 has 672 divisors, whose sum is σ = 168099503800320. Its totient is φ = 15984789765120.

The previous prime is 52395686872117. The next prime is 52395686872129. The reversal of 52395686872128 is 82127868659325.

52395686872128 is a `hidden beast` number, since 5 + 2 + 39 + 568 + 6 + 8 + 7 + 2 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (52395686872129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13207884801 + ... + 13207888767.

Almost surely, 2^{52395686872128} 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 52395686872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84049751900160).

52395686872128 is an abundant number, since it is smaller than the sum of its proper divisors (115703816928192).

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

52395686872128 is a wasteful number, since it uses less digits than its factorization.

52395686872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4705 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 52395686872128 in words is "fifty-two trillion, three hundred ninety-five billion, six hundred eighty-six million, eight hundred seventy-two thousand, one hundred twenty-eight".