13691010000800 has 72 divisors (see below), whose sum is σ = 36461648930112. Its totient is φ = 4978549088000.

The previous prime is 13691010000779. The next prime is 13691010000821. The reversal of 13691010000800 is 800001019631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13691010000779) and next prime (13691010000821).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777889496 + ... + 777907095.

It is an arithmetic number, because the mean of its divisors is an integer number (506411790696).

Almost surely, 2^{13691010000800} is an apocalyptic number.

13691010000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13691010000800 is an abundant number, since it is smaller than the sum of its proper divisors (22770638929312).

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

13691010000800 is a wasteful number, since it uses less digits than its factorization.

13691010000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555796622 (or 1555796609 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 13691010000800 in words is "thirteen trillion, six hundred ninety-one billion, ten million, eight hundred", and thus it is an aban number.