25542000 has 320 divisors, whose sum is σ = 102136320. Its totient is φ = 6048000.

The previous prime is 25541977. The next prime is 25542001. The reversal of 25542000 is 24552.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25542001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593979 + ... + 594021.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 2^25542000 is an apocalyptic number.

25542000 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 25542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

25542000 is an abundant number, since it is smaller than the sum of its proper divisors (76594320).

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

25542000 is a wasteful number, since it uses less digits than its factorization.

25542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 25542000 is about 5053.9093778975. The cubic root of 25542000 is about 294.4997746844.

Adding to 25542000 its reverse (24552), we get a palindrome (25566552).

It can be divided in two parts, 2554 and 2000, that added together give a palindrome (4554).

The spelling of 25542000 in words is "twenty-five million, five hundred forty-two thousand".