21830079600 has 360 divisors, whose sum is σ = 86812157952. Its totient is φ = 4976294400.

The previous prime is 21830079571. The next prime is 21830079637. The reversal of 21830079600 is 697003812.

21830079600 is a `hidden beast` number, since 2 + 18 + 30 + 0 + 7 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 11666665 + ... + 11668535.

Almost surely, 2^21830079600 is an apocalyptic number.

21830079600 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 21830079600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43406078976).

21830079600 is an abundant number, since it is smaller than the sum of its proper divisors (64982078352).

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

21830079600 is a wasteful number, since it uses less digits than its factorization.

21830079600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 21830079600 in words is "twenty-one billion, eight hundred thirty million, seventy-nine thousand, six hundred".