11290678560 has 768 divisors, whose sum is σ = 48751718400. Its totient is φ = 2382815232.

The previous prime is 11290678549. The next prime is 11290678601. The reversal of 11290678560 is 6587609211.

11290678560 is a `hidden beast` number, since 1 + 1 + 29 + 0 + 67 + 8 + 560 = 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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24705852 + ... + 24706308.

It is an arithmetic number, because the mean of its divisors is an integer number (63478800).

Almost surely, 2^11290678560 is an apocalyptic number.

11290678560 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 11290678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24375859200).

11290678560 is an abundant number, since it is smaller than the sum of its proper divisors (37461039840).

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

11290678560 is a wasteful number, since it uses less digits than its factorization.

11290678560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

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

The spelling of 11290678560 in words is "eleven billion, two hundred ninety million, six hundred seventy-eight thousand, five hundred sixty".