21357233200 has 60 divisors (see below), whose sum is σ = 51394241560. Its totient is φ = 8528993280.

The previous prime is 21357233189. The next prime is 21357233201. The reversal of 21357233200 is 233275312.

It is a super-2 number, since 2×21357233200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21357233201) 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 11 ways as a sum of consecutive naturals, for example, 204472 + ... + 290728.

Almost surely, 2^21357233200 is an apocalyptic number.

21357233200 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 21357233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25697120780).

21357233200 is an abundant number, since it is smaller than the sum of its proper divisors (30037008360).

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

21357233200 is a wasteful number, since it uses less digits than its factorization.

21357233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86894 (or 86883 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The spelling of 21357233200 in words is "twenty-one billion, three hundred fifty-seven million, two hundred thirty-three thousand, two hundred".