13578056064 has 96 divisors (see below), whose sum is σ = 39607752600. Its totient is φ = 4463990784.

The previous prime is 13578056053. The next prime is 13578056069. The reversal of 13578056064 is 46065087531.

13578056064 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 80 + 560 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13578056069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3367 + ... + 164825.

Almost surely, 2^13578056064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13578056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803876300).

13578056064 is an abundant number, since it is smaller than the sum of its proper divisors (26029696536).

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

13578056064 is a wasteful number, since it uses less digits than its factorization.

13578056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161552 (or 161537 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

It can be divided in two parts, 135780 and 56064, that added together give a square (191844 = 438²).

The spelling of 13578056064 in words is "thirteen billion, five hundred seventy-eight million, fifty-six thousand, sixty-four".