21022729200 has 480 divisors, whose sum is σ = 82034035200. Its totient is φ = 5071104000.

The previous prime is 21022729183. The next prime is 21022729207. The reversal of 21022729200 is 292722012.

21022729200 is a `hidden beast` number, since 210 + 227 + 29 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022729207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36946516 + ... + 36947084.

It is an arithmetic number, because the mean of its divisors is an integer number (170904240).

Almost surely, 2^21022729200 is an apocalyptic number.

21022729200 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 21022729200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41017017600).

21022729200 is an abundant number, since it is smaller than the sum of its proper divisors (61011306000).

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

21022729200 is a wasteful number, since it uses less digits than its factorization.

21022729200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 21022729200 in words is "twenty-one billion, twenty-two million, seven hundred twenty-nine thousand, two hundred".