13120893840 has 320 divisors, whose sum is σ = 44682854400. Its totient is φ = 3172608000.

The previous prime is 13120893827. The next prime is 13120893869. The reversal of 13120893840 is 4839802131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14276901 + ... + 14277819.

It is an arithmetic number, because the mean of its divisors is an integer number (139633920).

Almost surely, 2^13120893840 is an apocalyptic number.

13120893840 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 13120893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22341427200).

13120893840 is an abundant number, since it is smaller than the sum of its proper divisors (31561960560).

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

13120893840 is a wasteful number, since it uses less digits than its factorization.

13120893840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 13120893840 in words is "thirteen billion, one hundred twenty million, eight hundred ninety-three thousand, eight hundred forty".