11000770560 has 312 divisors, whose sum is σ = 41073474624. Its totient is φ = 2707292160.

The previous prime is 11000770559. The next prime is 11000770589. The reversal of 11000770560 is 6507700011.

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2393865 + ... + 2398455.

It is an arithmetic number, because the mean of its divisors is an integer number (131645752).

Almost surely, 2^11000770560 is an apocalyptic number.

11000770560 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 11000770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20536737312).

11000770560 is an abundant number, since it is smaller than the sum of its proper divisors (30072704064).

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

11000770560 is a wasteful number, since it uses less digits than its factorization.

11000770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 11000770560 in words is "eleven billion, seven hundred seventy thousand, five hundred sixty".