13093090560 has 864 divisors, whose sum is σ = 53239495680. Its totient is φ = 3041280000.

The previous prime is 13093090541. The next prime is 13093090579. The reversal of 13093090560 is 6509039031.

13093090560 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 3 + 0 + 90 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (13093090541) and next prime (13093090579).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×13093090560² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129634510 + ... + 129634610.

Almost surely, 2^13093090560 is an apocalyptic number.

13093090560 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 13093090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26619747840).

13093090560 is an abundant number, since it is smaller than the sum of its proper divisors (40146405120).

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

13093090560 is a wasteful number, since it uses less digits than its factorization.

13093090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The spelling of 13093090560 in words is "thirteen billion, ninety-three million, ninety thousand, five hundred sixty".