13950915120 has 400 divisors, whose sum is σ = 51395781888. Its totient is φ = 3501066240.

The previous prime is 13950915119. The next prime is 13950915133. The reversal of 13950915120 is 2151905931.

13950915120 is a `hidden beast` number, since 1 + 3 + 9 + 50 + 91 + 512 + 0 = 666.

It is a super-2 number, since 2×13950915120² (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 79 ways as a sum of consecutive naturals, for example, 7431622 + ... + 7433498.

Almost surely, 2^13950915120 is an apocalyptic number.

13950915120 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 13950915120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25697890944).

13950915120 is an abundant number, since it is smaller than the sum of its proper divisors (37444866768).

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

13950915120 is a wasteful number, since it uses less digits than its factorization.

13950915120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 13950915120 in words is "thirteen billion, nine hundred fifty million, nine hundred fifteen thousand, one hundred twenty".