10788414966 has 216 divisors, whose sum is σ = 29650480704. Its totient is φ = 2823387840.

The previous prime is 10788414943. The next prime is 10788415009. The reversal of 10788414966 is 66941488701.

10788414966 is a `hidden beast` number, since 1 + 0 + 78 + 84 + 1 + 496 + 6 = 666.

It is a super-2 number, since 2×10788414966² (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 107 ways as a sum of consecutive naturals, for example, 9869916 + ... + 9871008.

It is an arithmetic number, because the mean of its divisors is an integer number (137270744).

Almost surely, 2^10788414966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10788414966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825240352).

10788414966 is an abundant number, since it is smaller than the sum of its proper divisors (18862065738).

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

10788414966 is a wasteful number, since it uses less digits than its factorization.

10788414966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10788414966 in words is "ten billion, seven hundred eighty-eight million, four hundred fourteen thousand, nine hundred sixty-six".