10661135352 has 128 divisors (see below), whose sum is σ = 32810434560. Its totient is φ = 2819583360.

The previous prime is 10661135333. The next prime is 10661135417. The reversal of 10661135352 is 25353116601.

It is a super-2 number, since 2×10661135352² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75283 + ... + 164285.

It is an arithmetic number, because the mean of its divisors is an integer number (256331520).

Almost surely, 2^10661135352 is an apocalyptic number.

10661135352 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 10661135352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405217280).

10661135352 is an abundant number, since it is smaller than the sum of its proper divisors (22149299208).

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

10661135352 is a wasteful number, since it uses less digits than its factorization.

10661135352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89073 (or 89069 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 10661135352 in words is "ten billion, six hundred sixty-one million, one hundred thirty-five thousand, three hundred fifty-two".