23231201630400 has 588 divisors, whose sum is σ = 89432144977872. Its totient is φ = 5925632993280.

The previous prime is 23231201630363. The next prime is 23231201630437. The reversal of 23231201630400 is 403610213232.

23231201630400 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 1 + 20 + 1 + 630 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23231201630363) and next prime (23231201630437).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 26394222 + ... + 27260178.

Almost surely, 2^{23231201630400} is an apocalyptic number.

23231201630400 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 23231201630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44716072488936).

23231201630400 is an abundant number, since it is smaller than the sum of its proper divisors (66200943347472).

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

23231201630400 is an equidigital number, since it uses as much as digits as its factorization.

23231201630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866020 (or 865990 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23231201630400 its reverse (403610213232), we get a palindrome (23634811843632).

The spelling of 23231201630400 in words is "twenty-three trillion, two hundred thirty-one billion, two hundred one million, six hundred thirty thousand, four hundred".