13056380064 has 384 divisors, whose sum is σ = 47839680000. Its totient is φ = 3442424832.

The previous prime is 13056380063. The next prime is 13056380083. The reversal of 13056380064 is 46008365031.

13056380064 is a `hidden beast` number, since 1 + 30 + 563 + 8 + 0 + 0 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13056380063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3850882 + ... + 3854270.

It is an arithmetic number, because the mean of its divisors is an integer number (124582500).

Almost surely, 2^13056380064 is an apocalyptic number.

13056380064 is a gapful number since it is divisible by the number (14) 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 13056380064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23919840000).

13056380064 is an abundant number, since it is smaller than the sum of its proper divisors (34783299936).

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

13056380064 is a wasteful number, since it uses less digits than its factorization.

13056380064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13056380064 in words is "thirteen billion, fifty-six million, three hundred eighty thousand, sixty-four".