21873898800 has 240 divisors, whose sum is σ = 83844251680. Its totient is φ = 5384309760.

The previous prime is 21873898729. The next prime is 21873898801. The reversal of 21873898800 is 889837812.

21873898800 is a `hidden beast` number, since 2 + 187 + 389 + 8 + 80 + 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 (54).

It is not an unprimeable number, because it can be changed into a prime (21873898801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62502 + ... + 218298.

Almost surely, 2^21873898800 is an apocalyptic number.

21873898800 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 21873898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41922125840).

21873898800 is an abundant number, since it is smaller than the sum of its proper divisors (61970352880).

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

21873898800 is a wasteful number, since it uses less digits than its factorization.

21873898800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155837 (or 155820 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

It can be divided in two parts, 2187 and 3898800, that multiplied together give a square (8526675600 = 92340²).

The spelling of 21873898800 in words is "twenty-one billion, eight hundred seventy-three million, eight hundred ninety-eight thousand, eight hundred".