13766290000 has 100 divisors (see below), whose sum is σ = 33438296320. Its totient is φ = 5488560000.

The previous prime is 13766289961. The next prime is 13766290019. The reversal of 13766290000 is 9266731.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3307921 + ... + 3312079.

Almost surely, 2^13766290000 is an apocalyptic number.

13766290000 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 13766290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16719148160).

13766290000 is an abundant number, since it is smaller than the sum of its proper divisors (19672006320).

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

13766290000 is an equidigital number, since it uses as much as digits as its factorization.

13766290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 13766290000 in words is "thirteen billion, seven hundred sixty-six million, two hundred ninety thousand".