915399715112960 has 1728 divisors, whose sum is σ = 2919111981327360. Its totient is φ = 274201804800000.

The previous prime is 915399715112957. The next prime is 915399715112963. The reversal of 915399715112960 is 69211517993519.

It is an interprime number because it is at equal distance from previous prime (915399715112957) and next prime (915399715112963).

It is not an unprimeable number, because it can be changed into a prime (915399715112963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 284197364150 + ... + 284197367370.

It is an arithmetic number, because the mean of its divisors is an integer number (1689300915120).

Almost surely, 2^{915399715112960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 915399715112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459555990663680).

915399715112960 is an abundant number, since it is smaller than the sum of its proper divisors (2003712266214400).

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

915399715112960 is a wasteful number, since it uses less digits than its factorization.

915399715112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 41334300, while the sum is 68.

The spelling of 915399715112960 in words is "nine hundred fifteen trillion, three hundred ninety-nine billion, seven hundred fifteen million, one hundred twelve thousand, nine hundred sixty".