23506540000000 has 288 divisors, whose sum is σ = 58881421138176. Its totient is φ = 9365760000000.

The previous prime is 23506539999997. The next prime is 23506540000007. The reversal of 23506540000000 is 4560532.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 23506540000000.

It is not an unprimeable number, because it can be changed into a prime (23506540000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5419997832 + ... + 5420002168.

It is an arithmetic number, because the mean of its divisors is an integer number (204449378952).

Almost surely, 2^{23506540000000} is an apocalyptic number.

23506540000000 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 23506540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29440710569088).

23506540000000 is an abundant number, since it is smaller than the sum of its proper divisors (35374881138176).

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

23506540000000 is an frugal number, since it uses more digits than its factorization.

23506540000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 23506540000000 its reverse (4560532), we get a palindrome (23506544560532).

The spelling of 23506540000000 in words is "twenty-three trillion, five hundred six billion, five hundred forty million", and thus it is an aban number.