11680222560 has 192 divisors, whose sum is σ = 37568966400. Its totient is φ = 3049592832.

The previous prime is 11680222553. The next prime is 11680222597. The reversal of 11680222560 is 6522208611.

It is a super-2 number, since 2×11680222560² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5755626 + ... + 5757654.

It is an arithmetic number, because the mean of its divisors is an integer number (195671700).

Almost surely, 2^11680222560 is an apocalyptic number.

11680222560 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 11680222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18784483200).

11680222560 is an abundant number, since it is smaller than the sum of its proper divisors (25888743840).

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

11680222560 is a wasteful number, since it uses less digits than its factorization.

11680222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 11680222560 in words is "eleven billion, six hundred eighty million, two hundred twenty-two thousand, five hundred sixty".