13518965161400 has 48 divisors (see below), whose sum is σ = 31472897369040. Its totient is φ = 5400480108800.

The previous prime is 13518965161397. The next prime is 13518965161433. The reversal of 13518965161400 is 416156981531.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 11 ways as a sum of consecutive naturals, for example, 44259644 + ... + 44564043.

It is an arithmetic number, because the mean of its divisors is an integer number (655685361855).

Almost surely, 2^{13518965161400} is an apocalyptic number.

13518965161400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13518965161400 is an abundant number, since it is smaller than the sum of its proper divisors (17953932207640).

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

13518965161400 is a wasteful number, since it uses less digits than its factorization.

13518965161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88824464 (or 88824455 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 50.

The spelling of 13518965161400 in words is "thirteen trillion, five hundred eighteen billion, nine hundred sixty-five million, one hundred sixty-one thousand, four hundred".