21640165200 has 240 divisors, whose sum is σ = 77218272000. Its totient is φ = 5756083200.

The previous prime is 21640165177. The next prime is 21640165207. The reversal of 21640165200 is 256104612.

21640165200 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 0 + 1 + 652 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (21640165207) 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 47 ways as a sum of consecutive naturals, for example, 4652476 + ... + 4657124.

It is an arithmetic number, because the mean of its divisors is an integer number (321742800).

Almost surely, 2^21640165200 is an apocalyptic number.

21640165200 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 21640165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38609136000).

21640165200 is an abundant number, since it is smaller than the sum of its proper divisors (55578106800).

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

21640165200 is a wasteful number, since it uses less digits than its factorization.

21640165200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21640165200 its reverse (256104612), we get a palindrome (21896269812).

The spelling of 21640165200 in words is "twenty-one billion, six hundred forty million, one hundred sixty-five thousand, two hundred".