13958825360 has 40 divisors (see below), whose sum is σ = 32622461880. Its totient is φ = 5554593792.

The previous prime is 13958825347. The next prime is 13958825369. The reversal of 13958825360 is 6352885931.

It can be written as a sum of positive squares in 4 ways, for example, as 339001744 + 13619823616 = 18412^2 + 116704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13958825299 and 13958825308.

It is not an unprimeable number, because it can be changed into a prime (13958825369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436595 + ... + 467474.

It is an arithmetic number, because the mean of its divisors is an integer number (815561547).

Almost surely, 2^13958825360 is an apocalyptic number.

13958825360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13958825360 is an abundant number, since it is smaller than the sum of its proper divisors (18663636520).

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

13958825360 is a wasteful number, since it uses less digits than its factorization.

13958825360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904275 (or 904269 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

The spelling of 13958825360 in words is "thirteen billion, nine hundred fifty-eight million, eight hundred twenty-five thousand, three hundred sixty".