10515904920 has 256 divisors, whose sum is σ = 37001664000. Its totient is φ = 2649189888.

The previous prime is 10515904913. The next prime is 10515904921. The reversal of 10515904920 is 2940951501.

10515904920 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 590 + 49 + 20 = 666.

It is a super-2 number, since 2×10515904920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10515904921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13193962 + ... + 13194758.

It is an arithmetic number, because the mean of its divisors is an integer number (144537750).

Almost surely, 2^10515904920 is an apocalyptic number.

10515904920 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 10515904920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500832000).

10515904920 is an abundant number, since it is smaller than the sum of its proper divisors (26485759080).

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

10515904920 is a wasteful number, since it uses less digits than its factorization.

10515904920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 10515904920 in words is "ten billion, five hundred fifteen million, nine hundred four thousand, nine hundred twenty".