22048588800 has 1320 divisors, whose sum is σ = 98282201600. Its totient is φ = 4877107200.

The previous prime is 22048588789. The next prime is 22048588801. The reversal of 22048588800 is 888584022.

22048588800 is a `hidden beast` number, since 2 + 20 + 48 + 588 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×22048588800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22048588801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 711244785 + ... + 711244815.

Almost surely, 2^22048588800 is an apocalyptic number.

22048588800 is a gapful number since it is divisible by the number (20) 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 22048588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49141100800).

22048588800 is an abundant number, since it is smaller than the sum of its proper divisors (76233612800).

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

22048588800 is an equidigital number, since it uses as much as digits as its factorization.

22048588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 22048588800 in words is "twenty-two billion, forty-eight million, five hundred eighty-eight thousand, eight hundred".