315827642880 has 1440 divisors, whose sum is σ = 1293352220160. Its totient is φ = 70708101120.

The previous prime is 315827642873. The next prime is 315827642929. The reversal of 315827642880 is 88246728513.

315827642880 is a `hidden beast` number, since 31 + 582 + 7 + 6 + 4 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8535882222 + ... + 8535882258.

It is an arithmetic number, because the mean of its divisors is an integer number (898161264).

Almost surely, 2^315827642880 is an apocalyptic number.

315827642880 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 315827642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646676110080).

315827642880 is an abundant number, since it is smaller than the sum of its proper divisors (977524577280).

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

315827642880 is a wasteful number, since it uses less digits than its factorization.

315827642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 315827642880 in words is "three hundred fifteen billion, eight hundred twenty-seven million, six hundred forty-two thousand, eight hundred eighty".