13977785728720 has 120 divisors (see below), whose sum is σ = 35749732808160. Its totient is φ = 5078789548800.

The previous prime is 13977785728609. The next prime is 13977785728733. The reversal of 13977785728720 is 2782758777931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11613655 + ... + 12760585.

It is an arithmetic number, because the mean of its divisors is an integer number (297914440068).

Almost surely, 2^{13977785728720} is an apocalyptic number.

13977785728720 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 13977785728720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17874866404080).

13977785728720 is an abundant number, since it is smaller than the sum of its proper divisors (21771947079440).

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

13977785728720 is a wasteful number, since it uses less digits than its factorization.

13977785728720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148225 (or 1148208 counting only the distinct ones).

The product of its (nonzero) digits is 580849920, while the sum is 73.

The spelling of 13977785728720 in words is "thirteen trillion, nine hundred seventy-seven billion, seven hundred eighty-five million, seven hundred twenty-eight thousand, seven hundred twenty".