13515757561460 has 96 divisors (see below), whose sum is σ = 35612104405248. Its totient is φ = 4185871073280.

The previous prime is 13515757561447. The next prime is 13515757561477. The reversal of 13515757561460 is 6416575751531.

It is a junction number, because it is equal to n+sod(n) for n = 13515757561396 and 13515757561405.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 27708749 + ... + 28192308.

It is an arithmetic number, because the mean of its divisors is an integer number (370959420888).

Almost surely, 2^{13515757561460} is an apocalyptic number.

13515757561460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13515757561460 is an abundant number, since it is smaller than the sum of its proper divisors (22096346843788).

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

13515757561460 is a wasteful number, since it uses less digits than its factorization.

13515757561460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55901241 (or 55901239 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 56.

The spelling of 13515757561460 in words is "thirteen trillion, five hundred fifteen billion, seven hundred fifty-seven million, five hundred sixty-one thousand, four hundred sixty".