10661870800 has 360 divisors, whose sum is σ = 31646206656. Its totient is φ = 3434618880.

The previous prime is 10661870797. The next prime is 10661870801. The reversal of 10661870800 is 807816601.

It is a super-2 number, since 2×10661870800² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10661870800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661870801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30203424 + ... + 30203776.

Almost surely, 2^10661870800 is an apocalyptic number.

10661870800 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 10661870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823103328).

10661870800 is an abundant number, since it is smaller than the sum of its proper divisors (20984335856).

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

10661870800 is a wasteful number, since it uses less digits than its factorization.

10661870800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 10661870800 in words is "ten billion, six hundred sixty-one million, eight hundred seventy thousand, eight hundred".