252508875840 has 504 divisors, whose sum is σ = 953850800448. Its totient is φ = 61272207360.

The previous prime is 252508875833. The next prime is 252508875851. The reversal of 252508875840 is 48578805252.

252508875840 is a `hidden beast` number, since 2 + 5 + 2 + 50 + 8 + 8 + 7 + 584 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34553467 + ... + 34560773.

It is an arithmetic number, because the mean of its divisors is an integer number (1892561112).

Almost surely, 2^252508875840 is an apocalyptic number.

252508875840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252508875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476925400224).

252508875840 is an abundant number, since it is smaller than the sum of its proper divisors (701341924608).

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

252508875840 is a wasteful number, since it uses less digits than its factorization.

252508875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7401 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 252508875840 in words is "two hundred fifty-two billion, five hundred eight million, eight hundred seventy-five thousand, eight hundred forty".