252902456080 has 80 divisors (see below), whose sum is σ = 617681894400. Its totient is φ = 96113160704.

The previous prime is 252902455879. The next prime is 252902456117. The reversal of 252902456080 is 80654209252.

252902456080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187072 + ... + 735391.

It is an arithmetic number, because the mean of its divisors is an integer number (7721023680).

Almost surely, 2^252902456080 is an apocalyptic number.

252902456080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252902456080 is an abundant number, since it is smaller than the sum of its proper divisors (364779438320).

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

252902456080 is a wasteful number, since it uses less digits than its factorization.

252902456080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922648 (or 922642 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 252902456080 in words is "two hundred fifty-two billion, nine hundred two million, four hundred fifty-six thousand, eighty".