13958161920 has 320 divisors, whose sum is σ = 50159736000. Its totient is φ = 3678732288.

The previous prime is 13958161873. The next prime is 13958161951. The reversal of 13958161920 is 2916185931.

13958161920 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 8 + 1 + 619 + 20 = 666.

13958161920 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 31 ways as a sum of consecutive naturals, for example, 6150546 + ... + 6152814.

It is an arithmetic number, because the mean of its divisors is an integer number (156749175).

Almost surely, 2^13958161920 is an apocalyptic number.

13958161920 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 13958161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25079868000).

13958161920 is an abundant number, since it is smaller than the sum of its proper divisors (36201574080).

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

13958161920 is an equidigital number, since it uses as much as digits as its factorization.

13958161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2368 counting only the distinct ones).

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

The spelling of 13958161920 in words is "thirteen billion, nine hundred fifty-eight million, one hundred sixty-one thousand, nine hundred twenty".