13907799360 has 1344 divisors, whose sum is σ = 65032128000. Its totient is φ = 2779951104.

The previous prime is 13907799349. The next prime is 13907799419. The reversal of 13907799360 is 6399770931.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 13907799297 and 13907799306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 731989431 + ... + 731989449.

It is an arithmetic number, because the mean of its divisors is an integer number (48387000).

Almost surely, 2^13907799360 is an apocalyptic number.

13907799360 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 13907799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32516064000).

13907799360 is an abundant number, since it is smaller than the sum of its proper divisors (51124328640).

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

13907799360 is a wasteful number, since it uses less digits than its factorization.

13907799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 54.

The spelling of 13907799360 in words is "thirteen billion, nine hundred seven million, seven hundred ninety-nine thousand, three hundred sixty".