13971514475520 has 792 divisors, whose sum is σ = 56558583618264. Its totient is φ = 3179663327232.

The previous prime is 13971514475497. The next prime is 13971514475537. The reversal of 13971514475520 is 2557441517931.

It is a happy number.

13971514475520 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 1 + 5 + 1 + 44 + 75 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 266355081216 + 13705159394304 = 516096^2 + 3702048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 526082082 + ... + 526108638.

Almost surely, 2^{13971514475520} is an apocalyptic number.

13971514475520 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 13971514475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28279291809132).

13971514475520 is an abundant number, since it is smaller than the sum of its proper divisors (42587069142744).

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

13971514475520 is a wasteful number, since it uses less digits than its factorization.

13971514475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26835 (or 26807 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 13971514475520 in words is "thirteen trillion, nine hundred seventy-one billion, five hundred fourteen million, four hundred seventy-five thousand, five hundred twenty".