13961289600 has 480 divisors, whose sum is σ = 52424126040. Its totient is φ = 3657830400.

The previous prime is 13961289581. The next prime is 13961289607. The reversal of 13961289600 is 698216931.

It is a happy number.

13961289600 is a `hidden beast` number, since 1 + 39 + 6 + 1 + 2 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13961289607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15810759 + ... + 15811641.

Almost surely, 2^13961289600 is an apocalyptic number.

13961289600 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 13961289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26212063020).

13961289600 is an abundant number, since it is smaller than the sum of its proper divisors (38462836440).

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

13961289600 is an equidigital number, since it uses as much as digits as its factorization.

13961289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 13961289600 in words is "thirteen billion, nine hundred sixty-one million, two hundred eighty-nine thousand, six hundred".