13820148720 has 560 divisors, whose sum is σ = 55784971200. Its totient is φ = 3117367296.

The previous prime is 13820148709. The next prime is 13820148757. The reversal of 13820148720 is 2784102831.

13820148720 is a `hidden beast` number, since 138 + 20 + 1 + 487 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39599106 + ... + 39599454.

It is an arithmetic number, because the mean of its divisors is an integer number (99616020).

Almost surely, 2^13820148720 is an apocalyptic number.

13820148720 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 13820148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27892485600).

13820148720 is an abundant number, since it is smaller than the sum of its proper divisors (41964822480).

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

13820148720 is an equidigital number, since it uses as much as digits as its factorization.

13820148720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 13820148720 in words is "thirteen billion, eight hundred twenty million, one hundred forty-eight thousand, seven hundred twenty".