23451282400 has 432 divisors, whose sum is σ = 75967231536. Its totient is φ = 6982778880.

The previous prime is 23451282389. The next prime is 23451282403. The reversal of 23451282400 is 428215432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23451282403) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 8661847 + ... + 8664553.

It is an arithmetic number, because the mean of its divisors is an integer number (175850073).

Almost surely, 2^23451282400 is an apocalyptic number.

23451282400 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 23451282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37983615768).

23451282400 is an abundant number, since it is smaller than the sum of its proper divisors (52515949136).

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

23451282400 is a wasteful number, since it uses less digits than its factorization.

23451282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 23451282400 its reverse (428215432), we get a palindrome (23879497832).

The spelling of 23451282400 in words is "twenty-three billion, four hundred fifty-one million, two hundred eighty-two thousand, four hundred".