10564321330992 has 960 divisors, whose sum is σ = 34285870563840. Its totient is φ = 2780167864320.

The previous prime is 10564321330967. The next prime is 10564321331117. The reversal of 10564321330992 is 29903312346501.

It is a super-2 number, since 2×10564321330992² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15697356768 + ... + 15697357440.

It is an arithmetic number, because the mean of its divisors is an integer number (35714448504).

Almost surely, 2^{10564321330992} is an apocalyptic number.

10564321330992 is a gapful number since it is divisible by the number (12) 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 10564321330992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142935281920).

10564321330992 is an abundant number, since it is smaller than the sum of its proper divisors (23721549232848).

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

10564321330992 is a wasteful number, since it uses less digits than its factorization.

10564321330992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 10564321330992 in words is "ten trillion, five hundred sixty-four billion, three hundred twenty-one million, three hundred thirty thousand, nine hundred ninety-two".