13240793088 has 384 divisors, whose sum is σ = 42456960000. Its totient is φ = 4064772096.

The previous prime is 13240793081. The next prime is 13240793089. The reversal of 13240793088 is 88039704231.

13240793088 is a `hidden beast` number, since 132 + 407 + 9 + 30 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13240793081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36882253 + ... + 36882611.

It is an arithmetic number, because the mean of its divisors is an integer number (110565000).

Almost surely, 2^13240793088 is an apocalyptic number.

13240793088 is a gapful number since it is divisible by the number (18) 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 13240793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480000).

13240793088 is an abundant number, since it is smaller than the sum of its proper divisors (29216166912).

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

13240793088 is a wasteful number, since it uses less digits than its factorization.

13240793088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13240793088 in words is "thirteen billion, two hundred forty million, seven hundred ninety-three thousand, eighty-eight".