13109718893040 has 1440 divisors, whose sum is σ = 57243032211456. Its totient is φ = 2631163392000.

The previous prime is 13109718893003. The next prime is 13109718893069. The reversal of 13109718893040 is 4039881790131.

It is a happy number.

13109718893040 is a `hidden beast` number, since 1 + 310 + 9 + 7 + 18 + 8 + 9 + 304 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25162607980 + ... + 25162608500.

Almost surely, 2^{13109718893040} is an apocalyptic number.

13109718893040 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 13109718893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28621516105728).

13109718893040 is an abundant number, since it is smaller than the sum of its proper divisors (44133313318416).

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

13109718893040 is an equidigital number, since it uses as much as digits as its factorization.

13109718893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 13109718893040 in words is "thirteen trillion, one hundred nine billion, seven hundred eighteen million, eight hundred ninety-three thousand, forty".