23513204000 has 576 divisors, whose sum is σ = 70929776736. Its totient is φ = 7603200000.

The previous prime is 23513203997. The next prime is 23513204009. The reversal of 23513204000 is 40231532.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 295977616 + 23217226384 = 17204^2 + 152372^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23513204009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232803950 + ... + 232804050.

Almost surely, 2^23513204000 is an apocalyptic number.

23513204000 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 23513204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35464888368).

23513204000 is an abundant number, since it is smaller than the sum of its proper divisors (47416572736).

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

23513204000 is a wasteful number, since it uses less digits than its factorization.

23513204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 23513204000 its reverse (40231532), we get a palindrome (23553435532).

The spelling of 23513204000 in words is "twenty-three billion, five hundred thirteen million, two hundred four thousand".