5295786560064 has 2016 divisors, whose sum is σ = 21924009918720. Its totient is φ = 1198994227200.

The previous prime is 5295786560063. The next prime is 5295786560069. The reversal of 5295786560064 is 4600656875925.

It is a happy number.

5295786560064 is a `hidden beast` number, since 5 + 2 + 9 + 5 + 7 + 8 + 6 + 560 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5295786559983 and 5295786560010.

It is not an unprimeable number, because it can be changed into a prime (5295786560063) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8261757184 + ... + 8261757824.

It is an arithmetic number, because the mean of its divisors is an integer number (10875004920).

Almost surely, 2^{5295786560064} 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 5295786560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10962004959360).

5295786560064 is an abundant number, since it is smaller than the sum of its proper divisors (16628223358656).

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

5295786560064 is a wasteful number, since it uses less digits than its factorization.

5295786560064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5295786560064 in words is "five trillion, two hundred ninety-five billion, seven hundred eighty-six million, five hundred sixty thousand, sixty-four".