13936965120 has 960 divisors, whose sum is σ = 57196339200. Its totient is φ = 3105423360.

The previous prime is 13936965113. The next prime is 13936965149. The reversal of 13936965120 is 2156963931.

13936965120 is a `hidden beast` number, since 13 + 9 + 36 + 96 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×13936965120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176417241 + ... + 176417319.

It is an arithmetic number, because the mean of its divisors is an integer number (59579520).

Almost surely, 2^13936965120 is an apocalyptic number.

13936965120 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 13936965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28598169600).

13936965120 is an abundant number, since it is smaller than the sum of its proper divisors (43259374080).

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

13936965120 is a wasteful number, since it uses less digits than its factorization.

13936965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 13936965120 in words is "thirteen billion, nine hundred thirty-six million, nine hundred sixty-five thousand, one hundred twenty".