13953359520 has 144 divisors (see below), whose sum is σ = 47711893320. Its totient is φ = 3713390592.

The previous prime is 13953359513. The next prime is 13953359533. The reversal of 13953359520 is 2595335931.

13953359520 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 33 + 595 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8826226704 + 5127132816 = 93948^2 + 71604^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 723442 + ... + 742478.

Almost surely, 2^13953359520 is an apocalyptic number.

13953359520 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 13953359520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23855946660).

13953359520 is an abundant number, since it is smaller than the sum of its proper divisors (33758533800).

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

13953359520 is a wasteful number, since it uses less digits than its factorization.

13953359520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19567 (or 19556 counting only the distinct ones).

The product of its (nonzero) digits is 546750, while the sum is 45.

The spelling of 13953359520 in words is "thirteen billion, nine hundred fifty-three million, three hundred fifty-nine thousand, five hundred twenty".