21426635200 has 168 divisors, whose sum is σ = 53407578224. Its totient is φ = 8460288000.

The previous prime is 21426635183. The next prime is 21426635221. The reversal of 21426635200 is 253662412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69793447 + ... + 69793753.

Almost surely, 2^21426635200 is an apocalyptic number.

21426635200 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 21426635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26703789112).

21426635200 is an abundant number, since it is smaller than the sum of its proper divisors (31980943024).

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

21426635200 is a wasteful number, since it uses less digits than its factorization.

21426635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 21426635200 in words is "twenty-one billion, four hundred twenty-six million, six hundred thirty-five thousand, two hundred".