11221583856 has 320 divisors, whose sum is σ = 36569088000. Its totient is φ = 2891427840.

The previous prime is 11221583833. The next prime is 11221583861. The reversal of 11221583856 is 65838512211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22487895 + ... + 22488393.

It is an arithmetic number, because the mean of its divisors is an integer number (114278400).

Almost surely, 2^11221583856 is an apocalyptic number.

11221583856 is a gapful number since it is divisible by the number (16) 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 11221583856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284544000).

11221583856 is an abundant number, since it is smaller than the sum of its proper divisors (25347504144).

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

11221583856 is a wasteful number, since it uses less digits than its factorization.

11221583856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The spelling of 11221583856 in words is "eleven billion, two hundred twenty-one million, five hundred eighty-three thousand, eight hundred fifty-six".