25427048800 has 72 divisors (see below), whose sum is σ = 62298418896. Its totient is φ = 10134013440.

The previous prime is 25427048747. The next prime is 25427048839. The reversal of 25427048800 is 884072452.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 164229 + ... + 278971.

It is an arithmetic number, because the mean of its divisors is an integer number (865255818).

Almost surely, 2^25427048800 is an apocalyptic number.

25427048800 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 25427048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31149209448).

25427048800 is an abundant number, since it is smaller than the sum of its proper divisors (36871370096).

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

25427048800 is a wasteful number, since it uses less digits than its factorization.

25427048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115040 (or 115027 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The spelling of 25427048800 in words is "twenty-five billion, four hundred twenty-seven million, forty-eight thousand, eight hundred".