10812800064 has 168 divisors, whose sum is σ = 31585899744. Its totient is φ = 3262054400.

The previous prime is 10812800059. The next prime is 10812800069. The reversal of 10812800064 is 46000821801.

It is an interprime number because it is at equal distance from previous prime (10812800059) and next prime (10812800069).

It is not an unprimeable number, because it can be changed into a prime (10812800069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5969719 + ... + 5971529.

It is an arithmetic number, because the mean of its divisors is an integer number (188011308).

Almost surely, 2^10812800064 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 10812800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792949872).

10812800064 is an abundant number, since it is smaller than the sum of its proper divisors (20773099680).

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

10812800064 is a wasteful number, since it uses less digits than its factorization.

10812800064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 10812800064 in words is "ten billion, eight hundred twelve million, eight hundred thousand, sixty-four".