13900120992 has 288 divisors, whose sum is σ = 44044850304. Its totient is φ = 4296499200.

The previous prime is 13900120979. The next prime is 13900121017. The reversal of 13900120992 is 29902100931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 9384892 + ... + 9386372.

It is an arithmetic number, because the mean of its divisors is an integer number (152933508).

Almost surely, 2^13900120992 is an apocalyptic number.

13900120992 is a gapful number since it is divisible by the number (12) 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 13900120992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22022425152).

13900120992 is an abundant number, since it is smaller than the sum of its proper divisors (30144729312).

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

13900120992 is a wasteful number, since it uses less digits than its factorization.

13900120992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 13900120992 in words is "thirteen billion, nine hundred million, one hundred twenty thousand, nine hundred ninety-two".