10515916320 has 384 divisors, whose sum is σ = 42918543360. Its totient is φ = 2101800960.

The previous prime is 10515916277. The next prime is 10515916337. The reversal of 10515916320 is 2361951501.

It is a super-2 number, since 2×10515916320² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 823585 + ... + 836255.

It is an arithmetic number, because the mean of its divisors is an integer number (111767040).

Almost surely, 2^10515916320 is an apocalyptic number.

10515916320 is a gapful number since it is divisible by the number (10) 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 10515916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21459271680).

10515916320 is an abundant number, since it is smaller than the sum of its proper divisors (32402627040).

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

10515916320 is a wasteful number, since it uses less digits than its factorization.

10515916320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 10515916320 in words is "ten billion, five hundred fifteen million, nine hundred sixteen thousand, three hundred twenty".