10661312272 has 120 divisors (see below), whose sum is σ = 24090734880. Its totient is φ = 4551505920.

The previous prime is 10661312227. The next prime is 10661312279. The reversal of 10661312272 is 27221316601.

It is a super-2 number, since 2×10661312272² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10661312279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2710147 + ... + 2714077.

It is an arithmetic number, because the mean of its divisors is an integer number (200756124).

Almost surely, 2^10661312272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661312272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12045367440).

10661312272 is an abundant number, since it is smaller than the sum of its proper divisors (13429422608).

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

10661312272 is a wasteful number, since it uses less digits than its factorization.

10661312272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 10661312272 its reverse (27221316601), we get a palindrome (37882628873).

The spelling of 10661312272 in words is "ten billion, six hundred sixty-one million, three hundred twelve thousand, two hundred seventy-two".