10992884760 has 1024 divisors, whose sum is σ = 47029248000. Its totient is φ = 2242805760.

The previous prime is 10992884737. The next prime is 10992884789. The reversal of 10992884760 is 6748829901.

10992884760 is a `hidden beast` number, since 1 + 0 + 9 + 92 + 88 + 476 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10992884697 and 10992884706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 139150401 + ... + 139150479.

It is an arithmetic number, because the mean of its divisors is an integer number (45927000).

Almost surely, 2^10992884760 is an apocalyptic number.

10992884760 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 10992884760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514624000).

10992884760 is an abundant number, since it is smaller than the sum of its proper divisors (36036363240).

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

10992884760 is a wasteful number, since it uses less digits than its factorization.

10992884760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10992884760 in words is "ten billion, nine hundred ninety-two million, eight hundred eighty-four thousand, seven hundred sixty".