23505005412000 has 2880 divisors, whose sum is σ = 109321577164800. Its totient is φ = 4912466227200.

The previous prime is 23505005411957. The next prime is 23505005412001. The reversal of 23505005412000 is 21450050532.

It is a happy number.

23505005412000 is a `hidden beast` number, since 2 + 3 + 50 + 50 + 0 + 541 + 20 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23505005412001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8747674657 + ... + 8747677343.

It is an arithmetic number, because the mean of its divisors is an integer number (37958880960).

Almost surely, 2^{23505005412000} is an apocalyptic number.

23505005412000 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 23505005412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54660788582400).

23505005412000 is an abundant number, since it is smaller than the sum of its proper divisors (85816571752800).

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

23505005412000 is a wasteful number, since it uses less digits than its factorization.

23505005412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 23505005412000 its reverse (21450050532), we get a palindrome (23526455462532).

The spelling of 23505005412000 in words is "twenty-three trillion, five hundred five billion, five million, four hundred twelve thousand".