13055307840 has 560 divisors, whose sum is σ = 49390767360. Its totient is φ = 3266334720.

The previous prime is 13055307833. The next prime is 13055307851. The reversal of 13055307840 is 4870355031.

13055307840 is a `hidden beast` number, since 1 + 30 + 553 + 0 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13055307795 and 13055307804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36365581 + ... + 36365939.

Almost surely, 2^13055307840 is an apocalyptic number.

13055307840 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 13055307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24695383680).

13055307840 is an abundant number, since it is smaller than the sum of its proper divisors (36335459520).

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

13055307840 is a wasteful number, since it uses less digits than its factorization.

13055307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 13055307840 in words is "thirteen billion, fifty-five million, three hundred seven thousand, eight hundred forty".