25430255400 has 288 divisors, whose sum is σ = 89003365920. Its totient is φ = 5997657600.

The previous prime is 25430255387. The next prime is 25430255429. The reversal of 25430255400 is 455203452.

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

It is an unprimeable number.

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, 2681467 + ... + 2690933.

It is an arithmetic number, because the mean of its divisors is an integer number (309039465).

Almost surely, 2^25430255400 is an apocalyptic number.

25430255400 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 25430255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44501682960).

25430255400 is an abundant number, since it is smaller than the sum of its proper divisors (63573110520).

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

25430255400 is a wasteful number, since it uses less digits than its factorization.

25430255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9545 (or 9525 counting only the distinct ones).

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

Adding to 25430255400 its reverse (455203452), we get a palindrome (25885458852).

The spelling of 25430255400 in words is "twenty-five billion, four hundred thirty million, two hundred fifty-five thousand, four hundred".