252983761920 has 792 divisors, whose sum is σ = 965970358704. Its totient is φ = 63350636544.

The previous prime is 252983761907. The next prime is 252983761939. The reversal of 252983761920 is 29167389252.

252983761920 is a `hidden beast` number, since 2 + 529 + 8 + 37 + 61 + 9 + 20 = 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 71 ways as a sum of consecutive naturals, for example, 571069219 + ... + 571069661.

Almost surely, 2^252983761920 is an apocalyptic number.

252983761920 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 252983761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482985179352).

252983761920 is an abundant number, since it is smaller than the sum of its proper divisors (712986596784).

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

252983761920 is an frugal number, since it uses more digits than its factorization.

252983761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 252983761920 in words is "two hundred fifty-two billion, nine hundred eighty-three million, seven hundred sixty-one thousand, nine hundred twenty".