10522408064 has 64 divisors (see below), whose sum is σ = 24096104640. Its totient is φ = 4483470336.

The previous prime is 10522408051. The next prime is 10522408079. The reversal of 10522408064 is 46080422501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10522408064² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10522408064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121067 + ... + 188949.

It is an arithmetic number, because the mean of its divisors is an integer number (376501635).

Almost surely, 2^10522408064 is an apocalyptic number.

10522408064 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 10522408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12048052320).

10522408064 is an abundant number, since it is smaller than the sum of its proper divisors (13573696576).

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

10522408064 is an equidigital number, since it uses as much as digits as its factorization.

10522408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68077 (or 68065 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 10522408064 in words is "ten billion, five hundred twenty-two million, four hundred eight thousand, sixty-four".