23913822240 has 1536 divisors, whose sum is σ = 112521830400. Its totient is φ = 4598415360.

The previous prime is 23913822151. The next prime is 23913822287. The reversal of 23913822240 is 4222831932.

23913822240 is a `hidden beast` number, since 2 + 39 + 1 + 382 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23913822195 and 23913822204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 356922687 + ... + 356922753.

It is an arithmetic number, because the mean of its divisors is an integer number (73256400).

Almost surely, 2^23913822240 is an apocalyptic number.

23913822240 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 23913822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56260915200).

23913822240 is an abundant number, since it is smaller than the sum of its proper divisors (88608008160).

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

23913822240 is a wasteful number, since it uses less digits than its factorization.

23913822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23913822240 in words is "twenty-three billion, nine hundred thirteen million, eight hundred twenty-two thousand, two hundred forty".