13127596416 has 96 divisors (see below), whose sum is σ = 41210250120. Its totient is φ = 3978055680.

The previous prime is 13127596409. The next prime is 13127596421. The reversal of 13127596416 is 61469572131.

13127596416 is a `hidden beast` number, since 1 + 3 + 12 + 7 + 596 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13127596416² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505305 + ... + 530648.

Almost surely, 2^13127596416 is an apocalyptic number.

13127596416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13127596416 is an abundant number, since it is smaller than the sum of its proper divisors (28082653704).

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

13127596416 is a wasteful number, since it uses less digits than its factorization.

13127596416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035984 (or 1035969 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 13127596416 in words is "thirteen billion, one hundred twenty-seven million, five hundred ninety-six thousand, four hundred sixteen".