21854199600 has 240 divisors, whose sum is σ = 79595401600. Its totient is φ = 5692135680.

The previous prime is 21854199559. The next prime is 21854199607. The reversal of 21854199600 is 699145812.

21854199600 is a `hidden beast` number, since 2 + 18 + 541 + 9 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21854199607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440871 + ... + 487929.

Almost surely, 2^21854199600 is an apocalyptic number.

21854199600 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 21854199600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39797700800).

21854199600 is an abundant number, since it is smaller than the sum of its proper divisors (57741202000).

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

21854199600 is a wasteful number, since it uses less digits than its factorization.

21854199600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47129 (or 47112 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 21854199600 in words is "twenty-one billion, eight hundred fifty-four million, one hundred ninety-nine thousand, six hundred".