13926018078720 has 960 divisors, whose sum is σ = 54763534425600. Its totient is φ = 3356750315520.

The previous prime is 13926018078719. The next prime is 13926018078757. The reversal of 13926018078720 is 2787081062931.

It is a happy number.

13926018078720 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 601 + 8 + 0 + 7 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1633163097 + ... + 1633171623.

It is an arithmetic number, because the mean of its divisors is an integer number (57045348360).

Almost surely, 2^{13926018078720} is an apocalyptic number.

13926018078720 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 13926018078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27381767212800).

13926018078720 is an abundant number, since it is smaller than the sum of its proper divisors (40837516346880).

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

13926018078720 is a wasteful number, since it uses less digits than its factorization.

13926018078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 13926018078720 in words is "thirteen trillion, nine hundred twenty-six billion, eighteen million, seventy-eight thousand, seven hundred twenty".