23221654560 has 576 divisors, whose sum is σ = 93235484160. Its totient is φ = 5376983040.

The previous prime is 23221654559. The next prime is 23221654567. The reversal of 23221654560 is 6545612232.

23221654560 is a `hidden beast` number, since 2 + 32 + 2 + 1 + 65 + 4 + 560 = 666.

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 (23221654567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12410425 + ... + 12412295.

It is an arithmetic number, because the mean of its divisors is an integer number (161867160).

Almost surely, 2^23221654560 is an apocalyptic number.

23221654560 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 23221654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46617742080).

23221654560 is an abundant number, since it is smaller than the sum of its proper divisors (70013829600).

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

23221654560 is a wasteful number, since it uses less digits than its factorization.

23221654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23221654560 in words is "twenty-three billion, two hundred twenty-one million, six hundred fifty-four thousand, five hundred sixty".