13919713920 has 640 divisors, whose sum is σ = 57582835200. Its totient is φ = 3138600960.

The previous prime is 13919713901. The next prime is 13919713963. The reversal of 13919713920 is 2931791931.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×13919713920² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32296105 + ... + 32296535.

It is an arithmetic number, because the mean of its divisors is an integer number (89973180).

Almost surely, 2^13919713920 is an apocalyptic number.

13919713920 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 13919713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28791417600).

13919713920 is an abundant number, since it is smaller than the sum of its proper divisors (43663121280).

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

13919713920 is an equidigital number, since it uses as much as digits as its factorization.

13919713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 13919713920 in words is "thirteen billion, nine hundred nineteen million, seven hundred thirteen thousand, nine hundred twenty".