13957779360 has 576 divisors, whose sum is σ = 53893268352. Its totient is φ = 3023806464.

The previous prime is 13957779347. The next prime is 13957779371. The reversal of 13957779360 is 6397775931.

It is a self number, because there is not a number n which added to its sum of digits gives 13957779360.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37420134 + ... + 37420506.

It is an arithmetic number, because the mean of its divisors is an integer number (93564702).

Almost surely, 2^13957779360 is an apocalyptic number.

13957779360 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 13957779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26946634176).

13957779360 is an abundant number, since it is smaller than the sum of its proper divisors (39935488992).

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

13957779360 is a wasteful number, since it uses less digits than its factorization.

13957779360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 7501410, while the sum is 57.

The spelling of 13957779360 in words is "thirteen billion, nine hundred fifty-seven million, seven hundred seventy-nine thousand, three hundred sixty".