11312822880 has 240 divisors, whose sum is σ = 40340916000. Its totient is φ = 2985320448.

The previous prime is 11312822879. The next prime is 11312822887. The reversal of 11312822880 is 8822821311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312822887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1252621 + ... + 1261619.

It is an arithmetic number, because the mean of its divisors is an integer number (168087150).

Almost surely, 2^11312822880 is an apocalyptic number.

11312822880 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 11312822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170458000).

11312822880 is an abundant number, since it is smaller than the sum of its proper divisors (29028093120).

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

11312822880 is an equidigital number, since it uses as much as digits as its factorization.

11312822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9123 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11312822880 in words is "eleven billion, three hundred twelve million, eight hundred twenty-two thousand, eight hundred eighty".