21867310800 has 900 divisors, whose sum is σ = 88347978180. Its totient is φ = 5155799040.

The previous prime is 21867310793. The next prime is 21867310823. The reversal of 21867310800 is 801376812.

It can be written as a sum of positive squares in 18 ways, for example, as 2064066624 + 19803244176 = 45432^2 + 140724^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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 (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 591008382 + ... + 591008418.

Almost surely, 2^21867310800 is an apocalyptic number.

21867310800 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 21867310800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44173989090).

21867310800 is an abundant number, since it is smaller than the sum of its proper divisors (66480667380).

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

21867310800 is a wasteful number, since it uses less digits than its factorization.

21867310800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 21867310800 in words is "twenty-one billion, eight hundred sixty-seven million, three hundred ten thousand, eight hundred".