21937193200 has 120 divisors (see below), whose sum is σ = 56813551200. Its totient is φ = 8092001280.

The previous prime is 21937193191. The next prime is 21937193209. The reversal of 21937193200 is 239173912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21937193191) and next prime (21937193209).

It is a self number, because there is not a number n which added to its sum of digits gives 21937193200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21937193209) 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, 10601766 + ... + 10603834.

It is an arithmetic number, because the mean of its divisors is an integer number (473446260).

Almost surely, 2^21937193200 is an apocalyptic number.

21937193200 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 21937193200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28406775600).

21937193200 is an abundant number, since it is smaller than the sum of its proper divisors (34876358000).

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

21937193200 is a wasteful number, since it uses less digits than its factorization.

21937193200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The spelling of 21937193200 in words is "twenty-one billion, nine hundred thirty-seven million, one hundred ninety-three thousand, two hundred".