10669584030 has 256 divisors, whose sum is σ = 32202178560. Its totient is φ = 2206310400.

The previous prime is 10669583957. The next prime is 10669584031. The reversal of 10669584030 is 3048596601.

It is a super-2 number, since 2×10669584030² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10669584031) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 25343220 + ... + 25343640.

It is an arithmetic number, because the mean of its divisors is an integer number (125789760).

Almost surely, 2^10669584030 is an apocalyptic number.

10669584030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10669584030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101089280).

10669584030 is an abundant number, since it is smaller than the sum of its proper divisors (21532594530).

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

10669584030 is a wasteful number, since it uses less digits than its factorization.

10669584030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 10669584030 in words is "ten billion, six hundred sixty-nine million, five hundred eighty-four thousand, thirty".