13956122880 has 288 divisors, whose sum is σ = 56600812800. Its totient is φ = 3189915648.

The previous prime is 13956122879. The next prime is 13956122891. The reversal of 13956122880 is 8822165931.

13956122880 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 612 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213076 + ... + 270764.

It is an arithmetic number, because the mean of its divisors is an integer number (196530600).

Almost surely, 2^13956122880 is an apocalyptic number.

13956122880 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 13956122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28300406400).

13956122880 is an abundant number, since it is smaller than the sum of its proper divisors (42644689920).

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

13956122880 is an equidigital number, since it uses as much as digits as its factorization.

13956122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57726 (or 57706 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13956122880 in words is "thirteen billion, nine hundred fifty-six million, one hundred twenty-two thousand, eight hundred eighty".