13950357120 has 384 divisors, whose sum is σ = 56835118080. Its totient is φ = 3085516800.

The previous prime is 13950357107. The next prime is 13950357149. The reversal of 13950357120 is 2175305931.

13950357120 is a `hidden beast` number, since 1 + 39 + 50 + 3 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13950357120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244340 + ... + 1255500.

It is an arithmetic number, because the mean of its divisors is an integer number (148008120).

Almost surely, 2^13950357120 is an apocalyptic number.

13950357120 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 13950357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28417559040).

13950357120 is an abundant number, since it is smaller than the sum of its proper divisors (42884760960).

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

13950357120 is a wasteful number, since it uses less digits than its factorization.

13950357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224 (or 11209 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 13950357120 in words is "thirteen billion, nine hundred fifty million, three hundred fifty-seven thousand, one hundred twenty".