52630420128 has 768 divisors, whose sum is σ = 184679792640. Its totient is φ = 12864614400.

The previous prime is 52630420111. The next prime is 52630420163. The reversal of 52630420128 is 82102403625.

It is a super-2 number, since 2×52630420128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185973075 + ... + 185973357.

It is an arithmetic number, because the mean of its divisors is an integer number (240468480).

Almost surely, 2^52630420128 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 52630420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92339896320).

52630420128 is an abundant number, since it is smaller than the sum of its proper divisors (132049372512).

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

52630420128 is a wasteful number, since it uses less digits than its factorization.

52630420128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 52630420128 in words is "fifty-two billion, six hundred thirty million, four hundred twenty thousand, one hundred twenty-eight".