13720521830400 has 4914 divisors, whose sum is σ = 67327929132576. Its totient is φ = 2759049216000.

The previous prime is 13720521830387. The next prime is 13720521830413. The reversal of 13720521830400 is 403812502731.

13720521830400 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 0 + 5 + 218 + 30 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (13720521830387) and next prime (13720521830413).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 442597478385 + ... + 442597478415.

Almost surely, 2^{13720521830400} is an apocalyptic number.

13720521830400 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 13720521830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33663964566288).

13720521830400 is an abundant number, since it is smaller than the sum of its proper divisors (53607407302176).

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

13720521830400 is an equidigital number, since it uses as much as digits as its factorization.

13720521830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13720521830400 in words is "thirteen trillion, seven hundred twenty billion, five hundred twenty-one million, eight hundred thirty thousand, four hundred".