21256279200 has 648 divisors, whose sum is σ = 84300416928. Its totient is φ = 5224227840.

The previous prime is 21256279193. The next prime is 21256279249. The reversal of 21256279200 is 297265212.

It is a happy number.

21256279200 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 627 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32853277 + ... + 32853923.

It is an arithmetic number, because the mean of its divisors is an integer number (130093236).

Almost surely, 2^21256279200 is an apocalyptic number.

21256279200 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 21256279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42150208464).

21256279200 is an abundant number, since it is smaller than the sum of its proper divisors (63044137728).

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

21256279200 is a wasteful number, since it uses less digits than its factorization.

21256279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 21256279200 in words is "twenty-one billion, two hundred fifty-six million, two hundred seventy-nine thousand, two hundred".