13951128960 has 320 divisors, whose sum is σ = 50118393600. Its totient is φ = 3698196480.

The previous prime is 13951128913. The next prime is 13951128979. The reversal of 13951128960 is 6982115931.

13951128960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9900736 + ... + 9902144.

It is an arithmetic number, because the mean of its divisors is an integer number (156619980).

Almost surely, 2^13951128960 is an apocalyptic number.

13951128960 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 13951128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059196800).

13951128960 is an abundant number, since it is smaller than the sum of its proper divisors (36167264640).

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

13951128960 is a wasteful number, since it uses less digits than its factorization.

13951128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 13951128960 in words is "thirteen billion, nine hundred fifty-one million, one hundred twenty-eight thousand, nine hundred sixty".