21881275200 has 504 divisors, whose sum is σ = 81375333312. Its totient is φ = 5782855680.

The previous prime is 21881275177. The next prime is 21881275231. The reversal of 21881275200 is 257218812.

21881275200 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 127 + 520 + 0 = 666.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64929432 + ... + 64929768.

Almost surely, 2^21881275200 is an apocalyptic number.

21881275200 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 21881275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40687666656).

21881275200 is an abundant number, since it is smaller than the sum of its proper divisors (59494058112).

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

21881275200 is a wasteful number, since it uses less digits than its factorization.

21881275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 21881275200 in words is "twenty-one billion, eight hundred eighty-one million, two hundred seventy-five thousand, two hundred".