21683282400 has 432 divisors, whose sum is σ = 87192325584. Its totient is φ = 5023088640.

The previous prime is 21683282381. The next prime is 21683282419. The reversal of 21683282400 is 428238612.

21683282400 is a `hidden beast` number, since 216 + 8 + 32 + 8 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (21683282381) and next prime (21683282419).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1584387 + ... + 1598013.

It is an arithmetic number, because the mean of its divisors is an integer number (201834087).

Almost surely, 2^21683282400 is an apocalyptic number.

21683282400 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 21683282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43596162792).

21683282400 is an abundant number, since it is smaller than the sum of its proper divisors (65509043184).

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

21683282400 is a wasteful number, since it uses less digits than its factorization.

21683282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13683 (or 13667 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21683282400 in words is "twenty-one billion, six hundred eighty-three million, two hundred eighty-two thousand, four hundred".