22048977600 has 840 divisors, whose sum is σ = 91235723040. Its totient is φ = 5182341120.

The previous prime is 22048977593. The next prime is 22048977631. The reversal of 22048977600 is 677984022.

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

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 119 ways as a sum of consecutive naturals, for example, 38750116 + ... + 38750684.

It is an arithmetic number, because the mean of its divisors is an integer number (108613956).

Almost surely, 2^22048977600 is an apocalyptic number.

22048977600 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 22048977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45617861520).

22048977600 is an abundant number, since it is smaller than the sum of its proper divisors (69186745440).

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

22048977600 is a wasteful number, since it uses less digits than its factorization.

22048977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 22048977600 in words is "twenty-two billion, forty-eight million, nine hundred seventy-seven thousand, six hundred".