23534053200 has 480 divisors, whose sum is σ = 97699104000. Its totient is φ = 5378365440.

The previous prime is 23534053189. The next prime is 23534053219. The reversal of 23534053200 is 235043532.

23534053200 is a `hidden beast` number, since 2 + 3 + 53 + 405 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3701224 + ... + 3707576.

It is an arithmetic number, because the mean of its divisors is an integer number (203539800).

Almost surely, 2^23534053200 is an apocalyptic number.

23534053200 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 23534053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48849552000).

23534053200 is an abundant number, since it is smaller than the sum of its proper divisors (74165050800).

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

23534053200 is a wasteful number, since it uses less digits than its factorization.

23534053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 23534053200 its reverse (235043532), we get a palindrome (23769096732).

The spelling of 23534053200 in words is "twenty-three billion, five hundred thirty-four million, fifty-three thousand, two hundred".