13516029377680 has 80 divisors (see below), whose sum is σ = 31740361076160. Its totient is φ = 5352201598464.

The previous prime is 13516029377597. The next prime is 13516029377701. The reversal of 13516029377680 is 8677392061531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9474979 + ... + 10807741.

It is an arithmetic number, because the mean of its divisors is an integer number (396754513452).

Almost surely, 2^{13516029377680} is an apocalyptic number.

13516029377680 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 13516029377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15870180538080).

13516029377680 is an abundant number, since it is smaller than the sum of its proper divisors (18224331698480).

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

13516029377680 is a wasteful number, since it uses less digits than its factorization.

13516029377680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334048 (or 1334042 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The spelling of 13516029377680 in words is "thirteen trillion, five hundred sixteen billion, twenty-nine million, three hundred seventy-seven thousand, six hundred eighty".