22830561600 has 672 divisors, whose sum is σ = 94143307776. Its totient is φ = 4705689600.

The previous prime is 22830561571. The next prime is 22830561641. The reversal of 22830561600 is 616503822.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82420662 + ... + 82420938.

It is an arithmetic number, because the mean of its divisors is an integer number (140094208).

Almost surely, 2^22830561600 is an apocalyptic number.

22830561600 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 22830561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47071653888).

22830561600 is an abundant number, since it is smaller than the sum of its proper divisors (71312746176).

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

22830561600 is a wasteful number, since it uses less digits than its factorization.

22830561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 22830561600 in words is "twenty-two billion, eight hundred thirty million, five hundred sixty-one thousand, six hundred".