21167710200 has 288 divisors, whose sum is σ = 87493879200. Its totient is φ = 4466119680.

The previous prime is 21167710183. The next prime is 21167710217. The reversal of 21167710200 is 201776112.

It is an interprime number because it is at equal distance from previous prime (21167710183) and next prime (21167710217).

It is a super-2 number, since 2×21167710200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99186 + ... + 228414.

Almost surely, 2^21167710200 is an apocalyptic number.

21167710200 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 21167710200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43746939600).

21167710200 is an abundant number, since it is smaller than the sum of its proper divisors (66326169000).

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

21167710200 is a wasteful number, since it uses less digits than its factorization.

21167710200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129271 (or 129259 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 21167710200 in words is "twenty-one billion, one hundred sixty-seven million, seven hundred ten thousand, two hundred".