13515218680320 has 240 divisors, whose sum is σ = 53493718861440. Its totient is φ = 3089192804352.

The previous prime is 13515218680303. The next prime is 13515218680391. The reversal of 13515218680320 is 2308681251531.

13515218680320 is a `hidden beast` number, since 1 + 3 + 51 + 5 + 218 + 68 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13515218680320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41738580 + ... + 42061139.

It is an arithmetic number, because the mean of its divisors is an integer number (222890495256).

Almost surely, 2^{13515218680320} is an apocalyptic number.

13515218680320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13515218680320 is an abundant number, since it is smaller than the sum of its proper divisors (39978500181120).

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

13515218680320 is an equidigital number, since it uses as much as digits as its factorization.

13515218680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83799755 (or 83799736 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 13515218680320 in words is "thirteen trillion, five hundred fifteen billion, two hundred eighteen million, six hundred eighty thousand, three hundred twenty".