315489157920 has 288 divisors, whose sum is σ = 1179247371120. Its totient is φ = 76451020800.

The previous prime is 315489157909. The next prime is 315489157939. The reversal of 315489157920 is 29751984513.

It is a happy number.

315489157920 is a `hidden beast` number, since 3 + 1 + 5 + 48 + 9 + 1 + 579 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 245393418384 + 70095739536 = 495372^2 + 264756^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 487720 + ... + 932120.

Almost surely, 2^315489157920 is an apocalyptic number.

315489157920 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 315489157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589623685560).

315489157920 is an abundant number, since it is smaller than the sum of its proper divisors (863758213200).

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

315489157920 is a wasteful number, since it uses less digits than its factorization.

315489157920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444468 (or 444457 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 315489157920 in words is "three hundred fifteen billion, four hundred eighty-nine million, one hundred fifty-seven thousand, nine hundred twenty".