13090459735080 has 2048 divisors, whose sum is σ = 58982341017600. Its totient is φ = 2506056744960.

The previous prime is 13090459735043. The next prime is 13090459735103. The reversal of 13090459735080 is 8053795409031.

13090459735080 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 0 + 45 + 97 + 3 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 49773611029 + ... + 49773611291.

It is an arithmetic number, because the mean of its divisors is an integer number (28799971200).

Almost surely, 2^{13090459735080} is an apocalyptic number.

13090459735080 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 13090459735080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29491170508800).

13090459735080 is an abundant number, since it is smaller than the sum of its proper divisors (45891881282520).

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

13090459735080 is a wasteful number, since it uses less digits than its factorization.

13090459735080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 13090459735080 in words is "thirteen trillion, ninety billion, four hundred fifty-nine million, seven hundred thirty-five thousand, eighty".