25542115200 has 1152 divisors, whose sum is σ = 110913853440. Its totient is φ = 5474304000.

The previous prime is 25542115187. The next prime is 25542115289. The reversal of 25542115200 is 251124552.

25542115200 is a `hidden beast` number, since 2 + 5 + 542 + 115 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 381225567 + ... + 381225633.

Almost surely, 2^25542115200 is an apocalyptic number.

25542115200 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 25542115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55456926720).

25542115200 is an abundant number, since it is smaller than the sum of its proper divisors (85371738240).

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

25542115200 is a wasteful number, since it uses less digits than its factorization.

25542115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 25542115200 its reverse (251124552), we get a palindrome (25793239752).

The spelling of 25542115200 in words is "twenty-five billion, five hundred forty-two million, one hundred fifteen thousand, two hundred".