25542304400 has 60 divisors (see below), whose sum is σ = 61435888164. Its totient is φ = 10205184000.

The previous prime is 25542304399. The next prime is 25542304427. The reversal of 25542304400 is 440324552.

It can be written as a sum of positive squares in 6 ways, for example, as 3652510096 + 21889794304 = 60436^2 + 147952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316160 + ... + 388640.

Almost surely, 2^25542304400 is an apocalyptic number.

25542304400 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 25542304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30717944082).

25542304400 is an abundant number, since it is smaller than the sum of its proper divisors (35893583764).

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

25542304400 is a wasteful number, since it uses less digits than its factorization.

25542304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73380 (or 73369 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 25542304400 its reverse (440324552), we get a palindrome (25982628952).

The spelling of 25542304400 in words is "twenty-five billion, five hundred forty-two million, three hundred four thousand, four hundred".