13900517568 has 1008 divisors, whose sum is σ = 54070117920. Its totient is φ = 3511517184.

The previous prime is 13900517563. The next prime is 13900517573. The reversal of 13900517568 is 86571500931.

It is a happy number.

13900517568 is a `hidden beast` number, since 1 + 39 + 0 + 0 + 51 + 7 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (13900517563) and next prime (13900517573).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13900517563) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 375689646 + ... + 375689682.

It is an arithmetic number, because the mean of its divisors is an integer number (53640990).

Almost surely, 2^13900517568 is an apocalyptic number.

13900517568 is a gapful number since it is divisible by the number (18) 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 13900517568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27035058960).

13900517568 is an abundant number, since it is smaller than the sum of its proper divisors (40169600352).

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

13900517568 is a wasteful number, since it uses less digits than its factorization.

13900517568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 13900517568 in words is "thirteen billion, nine hundred million, five hundred seventeen thousand, five hundred sixty-eight".