13271678853120 has 672 divisors, whose sum is σ = 48988168744320. Its totient is φ = 3312042639360.

The previous prime is 13271678853113. The next prime is 13271678853149. The reversal of 13271678853120 is 2135887617231.

13271678853120 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 1 + 6 + 7 + 88 + 531 + 20 = 666.

It is a super-2 number, since 2×13271678853120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121765605 + ... + 1121777435.

Almost surely, 2^{13271678853120} is an apocalyptic number.

13271678853120 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 13271678853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494084372160).

13271678853120 is an abundant number, since it is smaller than the sum of its proper divisors (35716489891200).

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

13271678853120 is a wasteful number, since it uses less digits than its factorization.

13271678853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12064 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 13271678853120 in words is "thirteen trillion, two hundred seventy-one billion, six hundred seventy-eight million, eight hundred fifty-three thousand, one hundred twenty".