10515006355120 has 80 divisors (see below), whose sum is σ = 24918769605600. Its totient is φ = 4125443807232.

The previous prime is 10515006355111. The next prime is 10515006355153. The reversal of 10515006355120 is 2155360051501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10515006355120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2960895 + ... + 5458654.

It is an arithmetic number, because the mean of its divisors is an integer number (311484620070).

Almost surely, 2^{10515006355120} is an apocalyptic number.

10515006355120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10515006355120 is an abundant number, since it is smaller than the sum of its proper divisors (14403763250480).

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

10515006355120 is a wasteful number, since it uses less digits than its factorization.

10515006355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8419862 (or 8419856 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 10515006355120 in words is "ten trillion, five hundred fifteen billion, six million, three hundred fifty-five thousand, one hundred twenty".