252990097920 has 480 divisors, whose sum is σ = 1035892091520. Its totient is φ = 55831265280.

The previous prime is 252990097901. The next prime is 252990097951. The reversal of 252990097920 is 29790099252.

252990097920 is a `hidden beast` number, since 2 + 529 + 9 + 0 + 0 + 97 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4650075 + ... + 4704165.

It is an arithmetic number, because the mean of its divisors is an integer number (2158108524).

Almost surely, 2^252990097920 is an apocalyptic number.

252990097920 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 252990097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517946045760).

252990097920 is an abundant number, since it is smaller than the sum of its proper divisors (782901993600).

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

252990097920 is a wasteful number, since it uses less digits than its factorization.

252990097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54156 (or 54137 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 252990097920 in words is "two hundred fifty-two billion, nine hundred ninety million, ninety-seven thousand, nine hundred twenty".