10822580664 has 192 divisors, whose sum is σ = 33187829760. Its totient is φ = 2880153600.

The previous prime is 10822580663. The next prime is 10822580677. The reversal of 10822580664 is 46608522801.

It is a super-3 number, since 3×10822580664³ (a number of 31 digits) contains 333 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 (10822580663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4902649 + ... + 4904855.

It is an arithmetic number, because the mean of its divisors is an integer number (172853280).

Almost surely, 2^10822580664 is an apocalyptic number.

10822580664 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 10822580664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593914880).

10822580664 is an abundant number, since it is smaller than the sum of its proper divisors (22365249096).

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

10822580664 is a wasteful number, since it uses less digits than its factorization.

10822580664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 10822580664 in words is "ten billion, eight hundred twenty-two million, five hundred eighty thousand, six hundred sixty-four".