25484342400 has 864 divisors, whose sum is σ = 102344074560. Its totient is φ = 6031872000.

The previous prime is 25484342357. The next prime is 25484342419. The reversal of 25484342400 is 424348452.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 247420749 + ... + 247420851.

It is an arithmetic number, because the mean of its divisors is an integer number (118453790).

Almost surely, 2^25484342400 is an apocalyptic number.

25484342400 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 25484342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51172037280).

25484342400 is an abundant number, since it is smaller than the sum of its proper divisors (76859732160).

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

25484342400 is a wasteful number, since it uses less digits than its factorization.

25484342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 25484342400 in words is "twenty-five billion, four hundred eighty-four million, three hundred forty-two thousand, four hundred".