13985968561920 has 432 divisors, whose sum is σ = 48911176484352. Its totient is φ = 3689521274880.

The previous prime is 13985968561897. The next prime is 13985968561993. The reversal of 13985968561920 is 2916586958931.

13985968561920 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 59 + 6 + 8 + 561 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×13985968561920³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 915843885 + ... + 915859155.

It is an arithmetic number, because the mean of its divisors is an integer number (113220315936).

Almost surely, 2^{13985968561920} is an apocalyptic number.

13985968561920 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 13985968561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455588242176).

13985968561920 is an abundant number, since it is smaller than the sum of its proper divisors (34925207922432).

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

13985968561920 is a wasteful number, since it uses less digits than its factorization.

13985968561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16148 (or 16131 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 13985968561920 in words is "thirteen trillion, nine hundred eighty-five billion, nine hundred sixty-eight million, five hundred sixty-one thousand, nine hundred twenty".