315255552000 has 192 divisors, whose sum is σ = 1048916887200. Its totient is φ = 84067942400.

The previous prime is 315255551959. The next prime is 315255552041. The reversal of 315255552000 is 255552513.

It is an interprime number because it is at equal distance from previous prime (315255551959) and next prime (315255552041).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562756 + ... + 973244.

Almost surely, 2^315255552000 is an apocalyptic number.

315255552000 is a gapful number since it is divisible by the number (30) 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 315255552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524458443600).

315255552000 is an abundant number, since it is smaller than the sum of its proper divisors (733661335200).

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

315255552000 is an equidigital number, since it uses as much as digits as its factorization.

315255552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410529 (or 410499 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 33.

The spelling of 315255552000 in words is "three hundred fifteen billion, two hundred fifty-five million, five hundred fifty-two thousand".