652999552128 has 1152 divisors, whose sum is σ = 2509769845440. Its totient is φ = 160944537600.

The previous prime is 652999552123. The next prime is 652999552141. The reversal of 652999552128 is 821255999256.

652999552128 is a `hidden beast` number, since 6 + 52 + 9 + 9 + 9 + 552 + 1 + 28 = 666.

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

It is a super-3 number, since 3×652999552128³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (652999552123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 987896118 + ... + 987896778.

Almost surely, 2^652999552128 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 652999552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254884922720).

652999552128 is an abundant number, since it is smaller than the sum of its proper divisors (1856770293312).

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

652999552128 is a wasteful number, since it uses less digits than its factorization.

652999552128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 764 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 63.

The spelling of 652999552128 in words is "six hundred fifty-two billion, nine hundred ninety-nine million, five hundred fifty-two thousand, one hundred twenty-eight".