13779804720 has 320 divisors, whose sum is σ = 50750323200. Its totient is φ = 3055288320.

The previous prime is 13779804697. The next prime is 13779804721. The reversal of 13779804720 is 2740897731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13779804720.

It is not an unprimeable number, because it can be changed into a prime (13779804721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449904 + ... + 1459376.

It is an arithmetic number, because the mean of its divisors is an integer number (158594760).

Almost surely, 2^13779804720 is an apocalyptic number.

13779804720 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 13779804720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25375161600).

13779804720 is an abundant number, since it is smaller than the sum of its proper divisors (36970518480).

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

13779804720 is a wasteful number, since it uses less digits than its factorization.

13779804720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 13779804720 in words is "thirteen billion, seven hundred seventy-nine million, eight hundred four thousand, seven hundred twenty".