10515808320 has 336 divisors, whose sum is σ = 36718280640. Its totient is φ = 2546302976.

The previous prime is 10515808319. The next prime is 10515808333. The reversal of 10515808320 is 2380851501.

It is a happy number.

It is a super-2 number, since 2×10515808320² (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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8045107 + ... + 8046413.

Almost surely, 2^10515808320 is an apocalyptic number.

10515808320 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 10515808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18359140320).

10515808320 is an abundant number, since it is smaller than the sum of its proper divisors (26202472320).

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

10515808320 is a wasteful number, since it uses less digits than its factorization.

10515808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 10515808320 in words is "ten billion, five hundred fifteen million, eight hundred eight thousand, three hundred twenty".