13721693685840 has 120 divisors (see below), whose sum is σ = 52665167213568. Its totient is φ = 3136387127040.

The previous prime is 13721693685809. The next prime is 13721693685857. The reversal of 13721693685840 is 4858639612731.

13721693685840 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 16 + 9 + 36 + 8 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1361274096 + ... + 1361284175.

It is a 1-persistent number, because it is pandigital, but 2⋅13721693685840 = 27443387371680 is not.

Almost surely, 2^{13721693685840} is an apocalyptic number.

13721693685840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13721693685840 is an abundant number, since it is smaller than the sum of its proper divisors (38943473527728).

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

13721693685840 is a wasteful number, since it uses less digits than its factorization.

13721693685840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722558297 (or 2722558288 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 13721693685840 in words is "thirteen trillion, seven hundred twenty-one billion, six hundred ninety-three million, six hundred eighty-five thousand, eight hundred forty".