21836075200 has 168 divisors, whose sum is σ = 55495448064. Its totient is φ = 8451072000.

The previous prime is 21836075189. The next prime is 21836075201. The reversal of 21836075200 is 257063812.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21836075201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8329890 + ... + 8332510.

It is an arithmetic number, because the mean of its divisors is an integer number (330330048).

Almost surely, 2^21836075200 is an apocalyptic number.

21836075200 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 21836075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27747724032).

21836075200 is an abundant number, since it is smaller than the sum of its proper divisors (33659372864).

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

21836075200 is a wasteful number, since it uses less digits than its factorization.

21836075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 21836075200 in words is "twenty-one billion, eight hundred thirty-six million, seventy-five thousand, two hundred".