13936201960 has 64 divisors (see below), whose sum is σ = 32138124480. Its totient is φ = 5435942400.

The previous prime is 13936201957. The next prime is 13936201963. The reversal of 13936201960 is 6910263931.

13936201960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13936201957) and next prime (13936201963).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13936201963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099660 + ... + 1112260.

It is an arithmetic number, because the mean of its divisors is an integer number (502158195).

Almost surely, 2^13936201960 is an apocalyptic number.

13936201960 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 13936201960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069062240).

13936201960 is an abundant number, since it is smaller than the sum of its proper divisors (18201922520).

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

13936201960 is a wasteful number, since it uses less digits than its factorization.

13936201960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13298 (or 13294 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The spelling of 13936201960 in words is "thirteen billion, nine hundred thirty-six million, two hundred one thousand, nine hundred sixty".