21692707200 has 672 divisors, whose sum is σ = 85226587560. Its totient is φ = 5434490880.

The previous prime is 21692707193. The next prime is 21692707207. The reversal of 21692707200 is 270729612.

It is an interprime number because it is at equal distance from previous prime (21692707193) and next prime (21692707207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21692707207) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 39657327 + ... + 39657873.

Almost surely, 2^21692707200 is an apocalyptic number.

21692707200 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 21692707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42613293780).

21692707200 is an abundant number, since it is smaller than the sum of its proper divisors (63533880360).

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

21692707200 is an equidigital number, since it uses as much as digits as its factorization.

21692707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 21692707200 in words is "twenty-one billion, six hundred ninety-two million, seven hundred seven thousand, two hundred".