13093254720 has 1260 divisors, whose sum is σ = 59629061844. Its totient is φ = 2717245440.

The previous prime is 13093254709. The next prime is 13093254721. The reversal of 13093254720 is 2745239031.

13093254720 is a `hidden beast` number, since 1 + 3 + 0 + 93 + 2 + 547 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6261240384 + 6832014336 = 79128^2 + 82656^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13093254721) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 214643490 + ... + 214643550.

Almost surely, 2^13093254720 is an apocalyptic number.

13093254720 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 13093254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29814530922).

13093254720 is an abundant number, since it is smaller than the sum of its proper divisors (46535807124).

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

13093254720 is a wasteful number, since it uses less digits than its factorization.

13093254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13093254720 in words is "thirteen billion, ninety-three million, two hundred fifty-four thousand, seven hundred twenty".