13776930720 has 288 divisors, whose sum is σ = 55464514560. Its totient is φ = 3047362560.

The previous prime is 13776930709. The next prime is 13776930731. The reversal of 13776930720 is 2703967731.

It is an interprime number because it is at equal distance from previous prime (13776930709) and next prime (13776930731).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290436 + ... + 334524.

It is an arithmetic number, because the mean of its divisors is an integer number (192585120).

Almost surely, 2^13776930720 is an apocalyptic number.

13776930720 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 13776930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27732257280).

13776930720 is an abundant number, since it is smaller than the sum of its proper divisors (41687583840).

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

13776930720 is a wasteful number, since it uses less digits than its factorization.

13776930720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44148 (or 44137 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 13776930720 in words is "thirteen billion, seven hundred seventy-six million, nine hundred thirty thousand, seven hundred twenty".