13766886481920 has 1792 divisors, whose sum is σ = 54113284915200. Its totient is φ = 2942985830400.

The previous prime is 13766886481861. The next prime is 13766886481937. The reversal of 13766886481920 is 2918468866731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69180333981 + ... + 69180334179.

It is an arithmetic number, because the mean of its divisors is an integer number (30197145600).

Almost surely, 2^{13766886481920} is an apocalyptic number.

13766886481920 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 13766886481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27056642457600).

13766886481920 is an abundant number, since it is smaller than the sum of its proper divisors (40346398433280).

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

13766886481920 is a wasteful number, since it uses less digits than its factorization.

13766886481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 69.

The spelling of 13766886481920 in words is "thirteen trillion, seven hundred sixty-six billion, eight hundred eighty-six million, four hundred eighty-one thousand, nine hundred twenty".