13798249920 has 1344 divisors, whose sum is σ = 65503226880. Its totient is φ = 2579890176.

The previous prime is 13798249891. The next prime is 13798249963. The reversal of 13798249920 is 2994289731.

13798249920 is a `hidden beast` number, since 1 + 3 + 79 + 82 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84651759 + ... + 84651921.

It is an arithmetic number, because the mean of its divisors is an integer number (48737520).

Almost surely, 2^13798249920 is an apocalyptic number.

13798249920 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 13798249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32751613440).

13798249920 is an abundant number, since it is smaller than the sum of its proper divisors (51704976960).

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

13798249920 is a wasteful number, since it uses less digits than its factorization.

13798249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 13798249920 in words is "thirteen billion, seven hundred ninety-eight million, two hundred forty-nine thousand, nine hundred twenty".