13885831249920 has 1728 divisors, whose sum is σ = 59882353090560. Its totient is φ = 2904765235200.

The previous prime is 13885831249853. The next prime is 13885831249949. The reversal of 13885831249920 is 2994213858831.

13885831249920 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 583 + 1 + 2 + 49 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24318443235 + ... + 24318443805.

It is an arithmetic number, because the mean of its divisors is an integer number (34654139520).

Almost surely, 2^{13885831249920} is an apocalyptic number.

13885831249920 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 13885831249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29941176545280).

13885831249920 is an abundant number, since it is smaller than the sum of its proper divisors (45996521840640).

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

13885831249920 is an equidigital number, since it uses as much as digits as its factorization.

13885831249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 13885831249920 in words is "thirteen trillion, eight hundred eighty-five billion, eight hundred thirty-one million, two hundred forty-nine thousand, nine hundred twenty".