13699874878560 has 1152 divisors, whose sum is σ = 55228372093440. Its totient is φ = 3179177164800.

The previous prime is 13699874878549. The next prime is 13699874878589. The reversal of 13699874878560 is 6587847899631.

13699874878560 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 9 + 8 + 7 + 48 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 13699874878560.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2026305580 + ... + 2026312340.

It is an arithmetic number, because the mean of its divisors is an integer number (47941295220).

Almost surely, 2^{13699874878560} is an apocalyptic number.

13699874878560 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 13699874878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27614186046720).

13699874878560 is an abundant number, since it is smaller than the sum of its proper divisors (41528497214880).

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

13699874878560 is a wasteful number, since it uses less digits than its factorization.

13699874878560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 13699874878560 in words is "thirteen trillion, six hundred ninety-nine billion, eight hundred seventy-four million, eight hundred seventy-eight thousand, five hundred sixty".