23405438160 has 320 divisors, whose sum is σ = 91929116160. Its totient is φ = 5422325760.

The previous prime is 23405438159. The next prime is 23405438179. The reversal of 23405438160 is 6183450432.

23405438160 is a `hidden beast` number, since 2 + 34 + 0 + 543 + 81 + 6 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 452845 + ... + 501875.

It is an arithmetic number, because the mean of its divisors is an integer number (287278488).

Almost surely, 2^23405438160 is an apocalyptic number.

23405438160 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 23405438160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964558080).

23405438160 is an abundant number, since it is smaller than the sum of its proper divisors (68523678000).

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

23405438160 is a wasteful number, since it uses less digits than its factorization.

23405438160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49083 (or 49071 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 23405438160 its reverse (6183450432), we get a palindrome (29588888592).

The spelling of 23405438160 in words is "twenty-three billion, four hundred five million, four hundred thirty-eight thousand, one hundred sixty".