13899996910080 has 480 divisors, whose sum is σ = 49367487497328. Its totient is φ = 3612318105600.

The previous prime is 13899996910073. The next prime is 13899996910087. The reversal of 13899996910080 is 8001969999831.

13899996910080 is a `hidden beast` number, since 1 + 389 + 9 + 9 + 9 + 69 + 100 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13899996910073) and next prime (13899996910087).

It can be written as a sum of positive squares in 8 ways, for example, as 7742373030144 + 6157623879936 = 2782512^2 + 2481456^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13899996909990 and 13899996910008.

It is not an unprimeable number, because it can be changed into a prime (13899996910087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922905750 + ... + 922920810.

Almost surely, 2^{13899996910080} is an apocalyptic number.

13899996910080 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 13899996910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24683743748664).

13899996910080 is an abundant number, since it is smaller than the sum of its proper divisors (35467490587248).

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

13899996910080 is a wasteful number, since it uses less digits than its factorization.

13899996910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16108 (or 16089 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 72.

The spelling of 13899996910080 in words is "thirteen trillion, eight hundred ninety-nine billion, nine hundred ninety-six million, nine hundred ten thousand, eighty".