252307270190976 has 512 divisors, whose sum is σ = 899974604390400. Its totient is φ = 60484008960000.

The previous prime is 252307270190951. The next prime is 252307270190993. The reversal of 252307270190976 is 679091072703252.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2705632351 + ... + 2705725601.

It is an arithmetic number, because the mean of its divisors is an integer number (1757762899200).

Almost surely, 2^{252307270190976} is an apocalyptic number.

252307270190976 is a gapful number since it is divisible by the number (26) 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 252307270190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449987302195200).

252307270190976 is an abundant number, since it is smaller than the sum of its proper divisors (647667334199424).

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

252307270190976 is a wasteful number, since it uses less digits than its factorization.

252307270190976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100338 (or 100326 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 252307270190976 in words is "two hundred fifty-two trillion, three hundred seven billion, two hundred seventy million, one hundred ninety thousand, nine hundred seventy-six".