2315876935680 has 3072 divisors, whose sum is σ = 11140706304000. Its totient is φ = 447180963840.

The previous prime is 2315876935637. The next prime is 2315876935703. The reversal of 2315876935680 is 865396785132.

2315876935680 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 8 + 7 + 69 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29314897881 + ... + 29314897959.

It is an arithmetic number, because the mean of its divisors is an integer number (3626532000).

Almost surely, 2^{2315876935680} is an apocalyptic number.

2315876935680 is a gapful number since it is divisible by the number (20) 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 2315876935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570353152000).

2315876935680 is an abundant number, since it is smaller than the sum of its proper divisors (8824829368320).

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

2315876935680 is an equidigital number, since it uses as much as digits as its factorization.

2315876935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2315876935680 in words is "two trillion, three hundred fifteen billion, eight hundred seventy-six million, nine hundred thirty-five thousand, six hundred eighty".