21267198000 has 600 divisors, whose sum is σ = 79754422176. Its totient is φ = 5461344000.

The previous prime is 21267197989. The next prime is 21267198049. The reversal of 21267198000 is 89176212.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 299537965 + ... + 299538035.

Almost surely, 2^21267198000 is an apocalyptic number.

21267198000 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 21267198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39877211088).

21267198000 is an abundant number, since it is smaller than the sum of its proper divisors (58487224176).

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

21267198000 is an equidigital number, since it uses as much as digits as its factorization.

21267198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 21267198000 in words is "twenty-one billion, two hundred sixty-seven million, one hundred ninety-eight thousand".