25552322400 has 288 divisors, whose sum is σ = 91624635648. Its totient is φ = 6133708800.

The previous prime is 25552322347. The next prime is 25552322407. The reversal of 25552322400 is 422325552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25552322407) 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 47 ways as a sum of consecutive naturals, for example, 2714502 + ... + 2723898.

It is an arithmetic number, because the mean of its divisors is an integer number (318141096).

Almost surely, 2^25552322400 is an apocalyptic number.

25552322400 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 25552322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45812317824).

25552322400 is an abundant number, since it is smaller than the sum of its proper divisors (66072313248).

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

25552322400 is a wasteful number, since it uses less digits than its factorization.

25552322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 25552322400 its reverse (422325552), we get a palindrome (25974647952).

The spelling of 25552322400 in words is "twenty-five billion, five hundred fifty-two million, three hundred twenty-two thousand, four hundred".