10661311540 has 96 divisors (see below), whose sum is σ = 25965152640. Its totient is φ = 3636288000.

The previous prime is 10661311523. The next prime is 10661311553. The reversal of 10661311540 is 4511316601.

It is a super-2 number, since 2×10661311540² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10661311499 and 10661311508.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 409554 + ... + 434806.

It is an arithmetic number, because the mean of its divisors is an integer number (270470340).

Almost surely, 2^10661311540 is an apocalyptic number.

10661311540 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 10661311540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982576320).

10661311540 is an abundant number, since it is smaller than the sum of its proper divisors (15303841100).

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

10661311540 is a wasteful number, since it uses less digits than its factorization.

10661311540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25393 (or 25391 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10661311540 in words is "ten billion, six hundred sixty-one million, three hundred eleven thousand, five hundred forty".