21505075200 has 864 divisors, whose sum is σ = 90303595200. Its totient is φ = 4789370880.

The previous prime is 21505075147. The next prime is 21505075211. The reversal of 21505075200 is 257050512.

It is a happy number.

21505075200 is a `hidden beast` number, since 2 + 150 + 507 + 5 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190310344 + ... + 190310456.

It is an arithmetic number, because the mean of its divisors is an integer number (104518050).

Almost surely, 2^21505075200 is an apocalyptic number.

21505075200 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 21505075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45151797600).

21505075200 is an abundant number, since it is smaller than the sum of its proper divisors (68798520000).

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

21505075200 is a wasteful number, since it uses less digits than its factorization.

21505075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The spelling of 21505075200 in words is "twenty-one billion, five hundred five million, seventy-five thousand, two hundred".