315166673280 has 512 divisors, whose sum is σ = 1080519782400. Its totient is φ = 77961461760.

The previous prime is 315166673279. The next prime is 315166673281. The reversal of 315166673280 is 82376661513.

It is an interprime number because it is at equal distance from previous prime (315166673279) and next prime (315166673281).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315166673281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270993979 + ... + 270995141.

It is an arithmetic number, because the mean of its divisors is an integer number (2110390200).

Almost surely, 2^315166673280 is an apocalyptic number.

315166673280 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 315166673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540259891200).

315166673280 is an abundant number, since it is smaller than the sum of its proper divisors (765353109120).

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

315166673280 is a wasteful number, since it uses less digits than its factorization.

315166673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 315166673280 in words is "three hundred fifteen billion, one hundred sixty-six million, six hundred seventy-three thousand, two hundred eighty".