25048442880 has 288 divisors, whose sum is σ = 87329249280. Its totient is φ = 6639943680.

The previous prime is 25048442827. The next prime is 25048442893. The reversal of 25048442880 is 8824484052.

25048442880 is a `hidden beast` number, since 2 + 50 + 484 + 42 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17601849 + ... + 17603271.

It is an arithmetic number, because the mean of its divisors is an integer number (303226560).

Almost surely, 2^25048442880 is an apocalyptic number.

25048442880 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 25048442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43664624640).

25048442880 is an abundant number, since it is smaller than the sum of its proper divisors (62280806400).

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

25048442880 is a wasteful number, since it uses less digits than its factorization.

25048442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 25048442880 in words is "twenty-five billion, forty-eight million, four hundred forty-two thousand, eight hundred eighty".