22721050800 has 1200 divisors, whose sum is σ = 101270518272. Its totient is φ = 4760985600.

The previous prime is 22721050769. The next prime is 22721050861. The reversal of 22721050800 is 805012722.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×22721050800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 273747559 + ... + 273747641.

Almost surely, 2^22721050800 is an apocalyptic number.

22721050800 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 22721050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50635259136).

22721050800 is an abundant number, since it is smaller than the sum of its proper divisors (78549467472).

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

22721050800 is a wasteful number, since it uses less digits than its factorization.

22721050800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 22721050800 in words is "twenty-two billion, seven hundred twenty-one million, fifty thousand, eight hundred".