10661150790 has 96 divisors (see below), whose sum is σ = 28697760000. Its totient is φ = 2743130880.

The previous prime is 10661150741. The next prime is 10661150827. The reversal of 10661150790 is 9705116601.

It is a happy number.

10661150790 is a `hidden beast` number, since 1 + 0 + 6 + 61 + 1 + 507 + 90 = 666.

It is a super-2 number, since 2×10661150790² (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 47 ways as a sum of consecutive naturals, for example, 968236 + ... + 979184.

It is an arithmetic number, because the mean of its divisors is an integer number (298935000).

Almost surely, 2^10661150790 is an apocalyptic number.

10661150790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661150790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880000).

10661150790 is an abundant number, since it is smaller than the sum of its proper divisors (18036609210).

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

10661150790 is a wasteful number, since it uses less digits than its factorization.

10661150790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 11339 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10661150790 in words is "ten billion, six hundred sixty-one million, one hundred fifty thousand, seven hundred ninety".