21882830400 has 588 divisors, whose sum is σ = 82155567972. Its totient is φ = 5733089280.

The previous prime is 21882830383. The next prime is 21882830401. The reversal of 21882830400 is 403828812.

It is a happy number.

21882830400 is a `hidden beast` number, since 218 + 8 + 2 + 8 + 30 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1063803456 + 20819026944 = 32616^2 + 144288^2 .

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 (21882830401) 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, 85147072 + ... + 85147328.

Almost surely, 2^21882830400 is an apocalyptic number.

21882830400 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 21882830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41077783986).

21882830400 is an abundant number, since it is smaller than the sum of its proper divisors (60272737572).

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

21882830400 is an equidigital number, since it uses as much as digits as its factorization.

21882830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 21882830400 in words is "twenty-one billion, eight hundred eighty-two million, eight hundred thirty thousand, four hundred".