25494218400 has 288 divisors, whose sum is σ = 97046788608. Its totient is φ = 5691571200.

The previous prime is 25494218383. The next prime is 25494218459. The reversal of 25494218400 is 481249452.

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 47 ways as a sum of consecutive naturals, for example, 704755 + ... + 740045.

It is an arithmetic number, because the mean of its divisors is an integer number (336968016).

Almost surely, 2^25494218400 is an apocalyptic number.

25494218400 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 25494218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48523394304).

25494218400 is an abundant number, since it is smaller than the sum of its proper divisors (71552570208).

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

25494218400 is a wasteful number, since it uses less digits than its factorization.

25494218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35364 (or 35351 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 25494218400 in words is "twenty-five billion, four hundred ninety-four million, two hundred eighteen thousand, four hundred".