23426842732800 has 1296 divisors, whose sum is σ = 88464315421440. Its totient is φ = 5448267202560.

The previous prime is 23426842732703. The next prime is 23426842732819. The reversal of 23426842732800 is 823724862432.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4422659752 + ... + 4422665048.

It is an arithmetic number, because the mean of its divisors is an integer number (68259502640).

Almost surely, 2^{23426842732800} is an apocalyptic number.

23426842732800 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 23426842732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44232157710720).

23426842732800 is an abundant number, since it is smaller than the sum of its proper divisors (65037472688640).

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

23426842732800 is a wasteful number, since it uses less digits than its factorization.

23426842732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 23426842732800 in words is "twenty-three trillion, four hundred twenty-six billion, eight hundred forty-two million, seven hundred thirty-two thousand, eight hundred".