315700869120 has 1728 divisors, whose sum is σ = 1365511361760. Its totient is φ = 61832429568.

The previous prime is 315700869109. The next prime is 315700869131. The reversal of 315700869120 is 21968007513.

It is an interprime number because it is at equal distance from previous prime (315700869109) and next prime (315700869131).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4324669404 + ... + 4324669476.

Almost surely, 2^315700869120 is an apocalyptic number.

315700869120 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 315700869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682755680880).

315700869120 is an abundant number, since it is smaller than the sum of its proper divisors (1049810492640).

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

315700869120 is a wasteful number, since it uses less digits than its factorization.

315700869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 315700869120 in words is "three hundred fifteen billion, seven hundred million, eight hundred sixty-nine thousand, one hundred twenty".