13391978469120 has 2160 divisors, whose sum is σ = 54239767731072. Its totient is φ = 3142688440320.

The previous prime is 13391978469049. The next prime is 13391978469157. The reversal of 13391978469120 is 2196487919331.

13391978469120 is a `hidden beast` number, since 1 + 3 + 3 + 91 + 9 + 78 + 469 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49416894585 + ... + 49416894855.

Almost surely, 2^{13391978469120} is an apocalyptic number.

13391978469120 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 13391978469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27119883865536).

13391978469120 is an abundant number, since it is smaller than the sum of its proper divisors (40847789261952).

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

13391978469120 is a wasteful number, since it uses less digits than its factorization.

13391978469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 13391978469120 in words is "thirteen trillion, three hundred ninety-one billion, nine hundred seventy-eight million, four hundred sixty-nine thousand, one hundred twenty".