23340728122800 has 480 divisors, whose sum is σ = 82335103430400. Its totient is φ = 5605189939200.

The previous prime is 23340728122787. The next prime is 23340728122847. The reversal of 23340728122800 is 822182704332.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 632538751 + ... + 632575649.

It is an arithmetic number, because the mean of its divisors is an integer number (171531465480).

Almost surely, 2^{23340728122800} is an apocalyptic number.

23340728122800 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 23340728122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41167551715200).

23340728122800 is an abundant number, since it is smaller than the sum of its proper divisors (58994375307600).

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

23340728122800 is a wasteful number, since it uses less digits than its factorization.

23340728122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37381 (or 37370 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 23340728122800 in words is "twenty-three trillion, three hundred forty billion, seven hundred twenty-eight million, one hundred twenty-two thousand, eight hundred".