21072355200 has 768 divisors, whose sum is σ = 84516465600. Its totient is φ = 5096079360.

The previous prime is 21072355141. The next prime is 21072355229. The reversal of 21072355200 is 255327012.

21072355200 is a `hidden beast` number, since 2 + 107 + 2 + 3 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 81993472 + ... + 81993728.

Almost surely, 2^21072355200 is an apocalyptic number.

21072355200 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 21072355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42258232800).

21072355200 is an abundant number, since it is smaller than the sum of its proper divisors (63444110400).

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

21072355200 is a wasteful number, since it uses less digits than its factorization.

21072355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 21072355200 in words is "twenty-one billion, seventy-two million, three hundred fifty-five thousand, two hundred".