23505260160 has 128 divisors (see below), whose sum is σ = 76193265600. Its totient is φ = 6161801216.

The previous prime is 23505260147. The next prime is 23505260167. The reversal of 23505260160 is 6106250532.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (23505260167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9532 + ... + 217028.

Almost surely, 2^23505260160 is an apocalyptic number.

23505260160 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 23505260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38096632800).

23505260160 is an abundant number, since it is smaller than the sum of its proper divisors (52688005440).

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

23505260160 is a wasteful number, since it uses less digits than its factorization.

23505260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207578 (or 207566 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 23505260160 in words is "twenty-three billion, five hundred five million, two hundred sixty thousand, one hundred sixty".