13953204160 has 224 divisors, whose sum is σ = 40117727232. Its totient is φ = 4521000960.

The previous prime is 13953204143. The next prime is 13953204197. The reversal of 13953204160 is 6140235931.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 2983584 + ... + 2988256.

Almost surely, 2^13953204160 is an apocalyptic number.

13953204160 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 13953204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058863616).

13953204160 is an abundant number, since it is smaller than the sum of its proper divisors (26164523072).

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

13953204160 is a wasteful number, since it uses less digits than its factorization.

13953204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 13953204160 in words is "thirteen billion, nine hundred fifty-three million, two hundred four thousand, one hundred sixty".