11001550560 has 576 divisors, whose sum is σ = 47375000064. Its totient is φ = 2109542400.

The previous prime is 11001550499. The next prime is 11001550589. The reversal of 11001550560 is 6505510011.

It is a super-2 number, since 2×11001550560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11001550560.

It is a congruent number.

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, 3361725 + ... + 3364995.

It is an arithmetic number, because the mean of its divisors is an integer number (82248264).

Almost surely, 2^11001550560 is an apocalyptic number.

11001550560 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 11001550560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23687500032).

11001550560 is an abundant number, since it is smaller than the sum of its proper divisors (36373449504).

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

11001550560 is a wasteful number, since it uses less digits than its factorization.

11001550560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 11001550560 in words is "eleven billion, one million, five hundred fifty thousand, five hundred sixty".