13249600920 has 160 divisors (see below), whose sum is σ = 44727059520. Its totient is φ = 3517862400.

The previous prime is 13249600919. The next prime is 13249600937. The reversal of 13249600920 is 2900694231.

13249600920 is a `hidden beast` number, since 1 + 3 + 2 + 49 + 600 + 9 + 2 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 746145 + ... + 763695.

It is an arithmetic number, because the mean of its divisors is an integer number (279544122).

Almost surely, 2^13249600920 is an apocalyptic number.

13249600920 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 13249600920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22363529760).

13249600920 is an abundant number, since it is smaller than the sum of its proper divisors (31477458600).

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

13249600920 is a wasteful number, since it uses less digits than its factorization.

13249600920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17807 (or 17794 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13249600920 in words is "thirteen billion, two hundred forty-nine million, six hundred thousand, nine hundred twenty".