10661068800 has 408 divisors, whose sum is σ = 39331785680. Its totient is φ = 2831155200.

The previous prime is 10661068793. The next prime is 10661068867. The reversal of 10661068800 is 886016601.

It is a super-2 number, since 2×10661068800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44236680 + ... + 44236920.

Almost surely, 2^10661068800 is an apocalyptic number.

10661068800 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 10661068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665892840).

10661068800 is an abundant number, since it is smaller than the sum of its proper divisors (28670716880).

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

10661068800 is an frugal number, since it uses more digits than its factorization.

10661068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10661068800 in words is "ten billion, six hundred sixty-one million, sixty-eight thousand, eight hundred".