23105032704000 has 1664 divisors, whose sum is σ = 93166661952000. Its totient is φ = 5615242444800.

The previous prime is 23105032703989. The next prime is 23105032704007. The reversal of 23105032704000 is 40723050132.

23105032704000 is a `hidden beast` number, since 231 + 0 + 5 + 0 + 3 + 27 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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 (23105032704007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14916095226 + ... + 14916096774.

It is an arithmetic number, because the mean of its divisors is an integer number (55989580500).

Almost surely, 2^{23105032704000} is an apocalyptic number.

23105032704000 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 23105032704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46583330976000).

23105032704000 is an abundant number, since it is smaller than the sum of its proper divisors (70061629248000).

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

23105032704000 is a wasteful number, since it uses less digits than its factorization.

23105032704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 23105032704000 its reverse (40723050132), we get a palindrome (23145755754132).

The spelling of 23105032704000 in words is "twenty-three trillion, one hundred five billion, thirty-two million, seven hundred four thousand".