13985191080 has 320 divisors, whose sum is σ = 54463242240. Its totient is φ = 3152452608.

The previous prime is 13985191067. The next prime is 13985191093. The reversal of 13985191080 is 8019158931.

It is a Cunningham number, because it is equal to 118259²-1.

It is an interprime number because it is at equal distance from previous prime (13985191067) and next prime (13985191093).

It is a super-2 number, since 2×13985191080² (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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1651417 + ... + 1659863.

It is an arithmetic number, because the mean of its divisors is an integer number (170197632).

Almost surely, 2^13985191080 is an apocalyptic number.

13985191080 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 13985191080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231621120).

13985191080 is an abundant number, since it is smaller than the sum of its proper divisors (40478051160).

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

13985191080 is a wasteful number, since it uses less digits than its factorization.

13985191080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8550 (or 8537 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 13985191080 in words is "thirteen billion, nine hundred eighty-five million, one hundred ninety-one thousand, eighty".