23235206400 has 1080 divisors, whose sum is σ = 103658434880. Its totient is φ = 5016453120.

The previous prime is 23235206359. The next prime is 23235206417. The reversal of 23235206400 is 460253232.

23235206400 is a `hidden beast` number, since 2 + 3 + 235 + 20 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68947032 + ... + 68947368.

Almost surely, 2^23235206400 is an apocalyptic number.

23235206400 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 23235206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51829217440).

23235206400 is an abundant number, since it is smaller than the sum of its proper divisors (80423228480).

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

23235206400 is a wasteful number, since it uses less digits than its factorization.

23235206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 373 counting only the distinct ones).

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

Adding to 23235206400 its reverse (460253232), we get a palindrome (23695459632).

The spelling of 23235206400 in words is "twenty-three billion, two hundred thirty-five million, two hundred six thousand, four hundred".