23513403040200 has 576 divisors, whose sum is σ = 80107892766720. Its totient is φ = 6180427008000.

The previous prime is 23513403040159. The next prime is 23513403040327. The reversal of 23513403040200 is 204030431532.

23513403040200 is a `hidden beast` number, since 2 + 3 + 5 + 13 + 403 + 0 + 40 + 200 = 666.

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, 31061298222 + ... + 31061298978.

It is an arithmetic number, because the mean of its divisors is an integer number (139076202720).

Almost surely, 2^{23513403040200} is an apocalyptic number.

23513403040200 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 23513403040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40053946383360).

23513403040200 is an abundant number, since it is smaller than the sum of its proper divisors (56594489726520).

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

23513403040200 is a wasteful number, since it uses less digits than its factorization.

23513403040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 23513403040200 its reverse (204030431532), we get a palindrome (23717433471732).

The spelling of 23513403040200 in words is "twenty-three trillion, five hundred thirteen billion, four hundred three million, forty thousand, two hundred".