252628371936 has 96 divisors (see below), whose sum is σ = 737524720800. Its totient is φ = 84130375680.

The previous prime is 252628371913. The next prime is 252628371979. The reversal of 252628371936 is 639173826252.

252628371936 is a `hidden beast` number, since 2 + 5 + 2 + 628 + 3 + 7 + 1 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 786856 + ... + 1060376.

It is an arithmetic number, because the mean of its divisors is an integer number (7682549175).

Almost surely, 2^252628371936 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 252628371936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368762360400).

252628371936 is an abundant number, since it is smaller than the sum of its proper divisors (484896348864).

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

252628371936 is a wasteful number, since it uses less digits than its factorization.

252628371936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274609 (or 274595 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 252628371936 in words is "two hundred fifty-two billion, six hundred twenty-eight million, three hundred seventy-one thousand, nine hundred thirty-six".