13249620000 has 180 divisors, whose sum is σ = 47083826790. Its totient is φ = 3533184000.

The previous prime is 13249619989. The next prime is 13249620049. The reversal of 13249620000 is 2694231.

13249620000 is a `hidden beast` number, since 1 + 32 + 4 + 9 + 620 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 652700304 + 12596919696 = 25548^2 + 112236^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 143196 + ... + 216804.

Almost surely, 2^13249620000 is an apocalyptic number.

13249620000 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 13249620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23541913395).

13249620000 is an abundant number, since it is smaller than the sum of its proper divisors (33834206790).

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

13249620000 is an equidigital number, since it uses as much as digits as its factorization.

13249620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73645 (or 73619 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13249620000 in words is "thirteen billion, two hundred forty-nine million, six hundred twenty thousand".