23111104102400 has 384 divisors, whose sum is σ = 60119833512960. Its totient is φ = 8802674933760.

The previous prime is 23111104102397. The next prime is 23111104102417. The reversal of 23111104102400 is 420140111132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424580689 + ... + 1424596911.

It is an arithmetic number, because the mean of its divisors is an integer number (156562066440).

Almost surely, 2^{23111104102400} is an apocalyptic number.

23111104102400 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 23111104102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30059916756480).

23111104102400 is an abundant number, since it is smaller than the sum of its proper divisors (37008729410560).

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

23111104102400 is an equidigital number, since it uses as much as digits as its factorization.

23111104102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16347 (or 16314 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 23111104102400 its reverse (420140111132), we get a palindrome (23531244213532).

The spelling of 23111104102400 in words is "twenty-three trillion, one hundred eleven billion, one hundred four million, one hundred two thousand, four hundred".