11630426880 has 144 divisors (see below), whose sum is σ = 37203040224. Its totient is φ = 3096576000.

The previous prime is 11630426879. The next prime is 11630426893. The reversal of 11630426880 is 8862403611.

It is a super-2 number, since 2×11630426880² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2904880 + ... + 2908880.

It is an arithmetic number, because the mean of its divisors is an integer number (258354446).

Almost surely, 2^11630426880 is an apocalyptic number.

11630426880 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 11630426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601520112).

11630426880 is an abundant number, since it is smaller than the sum of its proper divisors (25572613344).

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

11630426880 is an equidigital number, since it uses as much as digits as its factorization.

11630426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 11630426880 in words is "eleven billion, six hundred thirty million, four hundred twenty-six thousand, eight hundred eighty".