23124304102400 has 264 divisors, whose sum is σ = 58829847550560. Its totient is φ = 9009228349440.

The previous prime is 23124304102391. The next prime is 23124304102451. The reversal of 23124304102400 is 420140342132.

It is a self number, because there is not a number n which added to its sum of digits gives 23124304102400.

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, 152577059 + ... + 152728541.

Almost surely, 2^{23124304102400} is an apocalyptic number.

23124304102400 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 23124304102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29414923775280).

23124304102400 is an abundant number, since it is smaller than the sum of its proper divisors (35705543448160).

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

23124304102400 is a wasteful number, since it uses less digits than its factorization.

23124304102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151669 (or 151646 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 23124304102400 its reverse (420140342132), we get a palindrome (23544444444532).

The spelling of 23124304102400 in words is "twenty-three trillion, one hundred twenty-four billion, three hundred four million, one hundred two thousand, four hundred".