23163025653600 has 1152 divisors, whose sum is σ = 94753567383552. Its totient is φ = 4794273792000.

The previous prime is 23163025653589. The next prime is 23163025653661. The reversal of 23163025653600 is 635652036132.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 822799525 + ... + 822827675.

It is an arithmetic number, because the mean of its divisors is an integer number (82251360576).

Almost surely, 2^{23163025653600} is an apocalyptic number.

23163025653600 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 23163025653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47376783691776).

23163025653600 is an abundant number, since it is smaller than the sum of its proper divisors (71590541729952).

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

23163025653600 is a wasteful number, since it uses less digits than its factorization.

23163025653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28308 (or 28295 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

Adding to 23163025653600 its reverse (635652036132), we get a palindrome (23798677689732).

The spelling of 23163025653600 in words is "twenty-three trillion, one hundred sixty-three billion, twenty-five million, six hundred fifty-three thousand, six hundred".