13906563563520 has 1120 divisors, whose sum is σ = 52811941248000. Its totient is φ = 3504064167936.

The previous prime is 13906563563483. The next prime is 13906563563527. The reversal of 13906563563520 is 2536536560931.

13906563563520 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 6 + 5 + 63 + 56 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13906563563527) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 36309565249 + ... + 36309565631.

Almost surely, 2^{13906563563520} is an apocalyptic number.

13906563563520 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 13906563563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26405970624000).

13906563563520 is an abundant number, since it is smaller than the sum of its proper divisors (38905377684480).

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

13906563563520 is an frugal number, since it uses more digits than its factorization.

13906563563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 54.

The spelling of 13906563563520 in words is "thirteen trillion, nine hundred six billion, five hundred sixty-three million, five hundred sixty-three thousand, five hundred twenty".