13696410205920 has 192 divisors, whose sum is σ = 46464570734400. Its totient is φ = 3371269275648.

The previous prime is 13696410205909. The next prime is 13696410205921. The reversal of 13696410205920 is 2950201469631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13696410205920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13696410205921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198703302 + ... + 198772218.

It is an arithmetic number, because the mean of its divisors is an integer number (242002972575).

Almost surely, 2^{13696410205920} is an apocalyptic number.

13696410205920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13696410205920 is an abundant number, since it is smaller than the sum of its proper divisors (32768160528480).

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

13696410205920 is a wasteful number, since it uses less digits than its factorization.

13696410205920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100797 (or 100789 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 13696410205920 in words is "thirteen trillion, six hundred ninety-six billion, four hundred ten million, two hundred five thousand, nine hundred twenty".