13779360000 has 540 divisors, whose sum is σ = 56779474752. Its totient is φ = 3147264000.

The previous prime is 13779359999. The next prime is 13779360079. The reversal of 13779360000 is 6397731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10079317 + ... + 10080683.

Almost surely, 2^13779360000 is an apocalyptic number.

13779360000 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 13779360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28389737376).

13779360000 is an abundant number, since it is smaller than the sum of its proper divisors (43000114752).

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

13779360000 is an equidigital number, since it uses as much as digits as its factorization.

13779360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 13779360000 in words is "thirteen billion, seven hundred seventy-nine million, three hundred sixty thousand".