23325278400 has 504 divisors, whose sum is σ = 91057140720. Its totient is φ = 5852528640.

The previous prime is 23325278381. The next prime is 23325278407. The reversal of 23325278400 is 487252332.

23325278400 is a `hidden beast` number, since 23 + 32 + 527 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×23325278400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23325278407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6607836 + ... + 6611364.

It is an arithmetic number, because the mean of its divisors is an integer number (180668930).

Almost surely, 2^23325278400 is an apocalyptic number.

23325278400 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 23325278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45528570360).

23325278400 is an abundant number, since it is smaller than the sum of its proper divisors (67731862320).

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

23325278400 is a wasteful number, since it uses less digits than its factorization.

23325278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 23325278400 in words is "twenty-three billion, three hundred twenty-five million, two hundred seventy-eight thousand, four hundred".