13975920000 has 960 divisors, whose sum is σ = 59650905600. Its totient is φ = 3073536000.

The previous prime is 13975919987. The next prime is 13975920019. The reversal of 13975920000 is 2957931.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 236879971 + ... + 236880029.

It is an arithmetic number, because the mean of its divisors is an integer number (62136360).

Almost surely, 2^13975920000 is an apocalyptic number.

13975920000 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 13975920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29825452800).

13975920000 is an abundant number, since it is smaller than the sum of its proper divisors (45674985600).

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

13975920000 is an equidigital number, since it uses as much as digits as its factorization.

13975920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 13975920000 in words is "thirteen billion, nine hundred seventy-five million, nine hundred twenty thousand".