315260802649680 has 320 divisors, whose sum is σ = 1070966918873088. Its totient is φ = 76371945431040.

The previous prime is 315260802649669. The next prime is 315260802649693. The reversal of 315260802649680 is 86946208062513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 45187827 + ... + 51695853.

Almost surely, 2^{315260802649680} is an apocalyptic number.

315260802649680 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 315260802649680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535483459436544).

315260802649680 is an abundant number, since it is smaller than the sum of its proper divisors (755706116223408).

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

315260802649680 is a wasteful number, since it uses less digits than its factorization.

315260802649680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6508474 (or 6508468 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 315260802649680 in words is "three hundred fifteen trillion, two hundred sixty billion, eight hundred two million, six hundred forty-nine thousand, six hundred eighty".