315774157879680 has 256 divisors, whose sum is σ = 1051753181644800. Its totient is φ = 80433260306432.

The previous prime is 315774157879627. The next prime is 315774157879699. The reversal of 315774157879680 is 86978751477513.

It is a junction number, because it is equal to n+sod(n) for n = 315774157879596 and 315774157879605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26778382 + ... + 36723698.

It is an arithmetic number, because the mean of its divisors is an integer number (4108410865800).

Almost surely, 2^{315774157879680} is an apocalyptic number.

315774157879680 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 315774157879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525876590822400).

315774157879680 is an abundant number, since it is smaller than the sum of its proper divisors (735979023765120).

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

315774157879680 is a wasteful number, since it uses less digits than its factorization.

315774157879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9946081 (or 9946069 counting only the distinct ones).

The product of its (nonzero) digits is 2489356800, while the sum is 78.

The spelling of 315774157879680 in words is "three hundred fifteen trillion, seven hundred seventy-four billion, one hundred fifty-seven million, eight hundred seventy-nine thousand, six hundred eighty".