23538308102400 has 1296 divisors, whose sum is σ = 97951937924736. Its totient is φ = 4872370913280.

The previous prime is 23538308102399. The next prime is 23538308102467. The reversal of 23538308102400 is 420180383532.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 143 ways as a sum of consecutive naturals, for example, 1203811024 + ... + 1203830576.

It is an arithmetic number, because the mean of its divisors is an integer number (75580199016).

Almost surely, 2^{23538308102400} is an apocalyptic number.

23538308102400 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 23538308102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48975968962368).

23538308102400 is an abundant number, since it is smaller than the sum of its proper divisors (74413629822336).

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

23538308102400 is a wasteful number, since it uses less digits than its factorization.

23538308102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19668 (or 19636 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 23538308102400 its reverse (420180383532), we get a palindrome (23958488485932).

The spelling of 23538308102400 in words is "twenty-three trillion, five hundred thirty-eight billion, three hundred eight million, one hundred two thousand, four hundred".