23534344400 has 480 divisors, whose sum is σ = 72535357440. Its totient is φ = 7151616000.

The previous prime is 23534344399. The next prime is 23534344423. The reversal of 23534344400 is 444343532.

It is a super-2 number, since 2×23534344400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 60499406 + ... + 60499794.

It is an arithmetic number, because the mean of its divisors is an integer number (151115328).

Almost surely, 2^23534344400 is an apocalyptic number.

23534344400 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 23534344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36267678720).

23534344400 is an abundant number, since it is smaller than the sum of its proper divisors (49001013040).

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

23534344400 is a wasteful number, since it uses less digits than its factorization.

23534344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 23534344400 its reverse (444343532), we get a palindrome (23978687932).

The spelling of 23534344400 in words is "twenty-three billion, five hundred thirty-four million, three hundred forty-four thousand, four hundred".