13997560320 has 320 divisors, whose sum is σ = 49956445440. Its totient is φ = 3715006464.

The previous prime is 13997560307. The next prime is 13997560321. The reversal of 13997560320 is 2306579931.

13997560320 is a `hidden beast` number, since 1 + 39 + 9 + 7 + 5 + 603 + 2 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (13997560321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21634237 + ... + 21634883.

It is an arithmetic number, because the mean of its divisors is an integer number (156113892).

Almost surely, 2^13997560320 is an apocalyptic number.

13997560320 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 13997560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24978222720).

13997560320 is an abundant number, since it is smaller than the sum of its proper divisors (35958885120).

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

13997560320 is an equidigital number, since it uses as much as digits as its factorization.

13997560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 13997560320 in words is "thirteen billion, nine hundred ninety-seven million, five hundred sixty thousand, three hundred twenty".