21867962280200 has 192 divisors, whose sum is σ = 51549094396800. Its totient is φ = 8626493491200.

The previous prime is 21867962280193. The next prime is 21867962280209. The reversal of 21867962280200 is 208226976812.

It is not an unprimeable number, because it can be changed into a prime (21867962280209) 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, 5462891399 + ... + 5462895401.

It is an arithmetic number, because the mean of its divisors is an integer number (268484866650).

Almost surely, 2^{21867962280200} is an apocalyptic number.

21867962280200 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 21867962280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25774547198400).

21867962280200 is an abundant number, since it is smaller than the sum of its proper divisors (29681132116600).

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

21867962280200 is a wasteful number, since it uses less digits than its factorization.

21867962280200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 21867962280200 in words is "twenty-one trillion, eight hundred sixty-seven billion, nine hundred sixty-two million, two hundred eighty thousand, two hundred".