11260976580 has 288 divisors, whose sum is σ = 39736569600. Its totient is φ = 2528354304.

The previous prime is 11260976567. The next prime is 11260976591. The reversal of 11260976580 is 8567906211.

11260976580 is a `hidden beast` number, since 1 + 1 + 2 + 60 + 9 + 7 + 6 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19790536 + ... + 19791104.

It is an arithmetic number, because the mean of its divisors is an integer number (137974200).

Almost surely, 2^11260976580 is an apocalyptic number.

11260976580 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 11260976580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19868284800).

11260976580 is an abundant number, since it is smaller than the sum of its proper divisors (28475593020).

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

11260976580 is a wasteful number, since it uses less digits than its factorization.

11260976580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11260976580 in words is "eleven billion, two hundred sixty million, nine hundred seventy-six thousand, five hundred eighty".