23942284560 has 1120 divisors, whose sum is σ = 98363704320. Its totient is φ = 5374771200.

The previous prime is 23942284549. The next prime is 23942284627. The reversal of 23942284560 is 6548224932.

23942284560 is a `hidden beast` number, since 2 + 3 + 9 + 4 + 2 + 2 + 84 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 583958140 + ... + 583958180.

It is an arithmetic number, because the mean of its divisors is an integer number (87824736).

Almost surely, 2^23942284560 is an apocalyptic number.

23942284560 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 23942284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49181852160).

23942284560 is an abundant number, since it is smaller than the sum of its proper divisors (74421419760).

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

23942284560 is a wasteful number, since it uses less digits than its factorization.

23942284560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 23942284560 in words is "twenty-three billion, nine hundred forty-two million, two hundred eighty-four thousand, five hundred sixty".