13768008563400 has 288 divisors, whose sum is σ = 53468289685440. Its totient is φ = 2904898429440.

The previous prime is 13768008563363. The next prime is 13768008563401. The reversal of 13768008563400 is 436580086731.

It is not an unprimeable number, because it can be changed into a prime (13768008563401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17629324 + ... + 18393723.

It is an arithmetic number, because the mean of its divisors is an integer number (185653783630).

Almost surely, 2^{13768008563400} is an apocalyptic number.

13768008563400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13768008563400 is an abundant number, since it is smaller than the sum of its proper divisors (39700281122040).

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

13768008563400 is a wasteful number, since it uses less digits than its factorization.

13768008563400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36023093 (or 36023077 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 13768008563400 in words is "thirteen trillion, seven hundred sixty-eight billion, eight million, five hundred sixty-three thousand, four hundred".