10664075520 has 576 divisors, whose sum is σ = 45810455040. Its totient is φ = 2293235712.

The previous prime is 10664075483. The next prime is 10664075533. The reversal of 10664075520 is 2557046601.

It is a happy number.

10664075520 is a `hidden beast` number, since 1 + 0 + 6 + 64 + 0 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10664075520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4111344 + ... + 4113936.

It is an arithmetic number, because the mean of its divisors is an integer number (79532040).

Almost surely, 2^10664075520 is an apocalyptic number.

10664075520 is a gapful number since it is divisible by the number (10) 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 10664075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22905227520).

10664075520 is an abundant number, since it is smaller than the sum of its proper divisors (35146379520).

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

10664075520 is a wasteful number, since it uses less digits than its factorization.

10664075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10664075520 in words is "ten billion, six hundred sixty-four million, seventy-five thousand, five hundred twenty".