10976122080 has 960 divisors, whose sum is σ = 51214851072. Its totient is φ = 2143272960.

The previous prime is 10976122061. The next prime is 10976122081. The reversal of 10976122080 is 8022167901.

10976122080 is a `hidden beast` number, since 10 + 9 + 7 + 612 + 20 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10976122081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16964317 + ... + 16964963.

Almost surely, 2^10976122080 is an apocalyptic number.

10976122080 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 10976122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25607425536).

10976122080 is an abundant number, since it is smaller than the sum of its proper divisors (40238728992).

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

10976122080 is a wasteful number, since it uses less digits than its factorization.

10976122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 10976122080 its reverse (8022167901), we get a palindrome (18998289981).

It can be divided in two parts, 109761 and 22080, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 10976122080 in words is "ten billion, nine hundred seventy-six million, one hundred twenty-two thousand, eighty".