52132829688 has 128 divisors (see below), whose sum is σ = 147994516800. Its totient is φ = 16997879808.

The previous prime is 52132829653. The next prime is 52132829743. The reversal of 52132829688 is 88692823125.

It is a happy number.

52132829688 is a `hidden beast` number, since 5 + 21 + 328 + 296 + 8 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 3851220 + ... + 3864732.

Almost surely, 2^52132829688 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 52132829688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73997258400).

52132829688 is an abundant number, since it is smaller than the sum of its proper divisors (95861687112).

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

52132829688 is a wasteful number, since it uses less digits than its factorization.

52132829688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13918 (or 13908 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 52132829688 in words is "fifty-two billion, one hundred thirty-two million, eight hundred twenty-nine thousand, six hundred eighty-eight".