23132360160 has 1152 divisors, whose sum is σ = 105812904960. Its totient is φ = 4595429376.

The previous prime is 23132360149. The next prime is 23132360161. The reversal of 23132360160 is 6106323132.

It is a happy number.

23132360160 is a `hidden beast` number, since 2 + 31 + 3 + 23 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132360161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141916239 + ... + 141916401.

It is an arithmetic number, because the mean of its divisors is an integer number (91851480).

Almost surely, 2^23132360160 is an apocalyptic number.

23132360160 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 23132360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52906452480).

23132360160 is an abundant number, since it is smaller than the sum of its proper divisors (82680544800).

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

23132360160 is a wasteful number, since it uses less digits than its factorization.

23132360160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 23132360160 its reverse (6106323132), we get a palindrome (29238683292).

The spelling of 23132360160 in words is "twenty-three billion, one hundred thirty-two million, three hundred sixty thousand, one hundred sixty".