13787819520 has 160 divisors (see below), whose sum is σ = 44683559712. Its totient is φ = 3626237952.

The previous prime is 13787819497. The next prime is 13787819557. The reversal of 13787819520 is 2591878731.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548344 + ... + 572936.

Almost surely, 2^13787819520 is an apocalyptic number.

13787819520 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 13787819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22341779856).

13787819520 is an abundant number, since it is smaller than the sum of its proper divisors (30895740192).

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

13787819520 is an equidigital number, since it uses as much as digits as its factorization.

13787819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24692 (or 24676 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 13787819520 in words is "thirteen billion, seven hundred eighty-seven million, eight hundred nineteen thousand, five hundred twenty".