24825422880 has 144 divisors (see below), whose sum is σ = 84784190400. Its totient is φ = 6614843904.

The previous prime is 24825422873. The next prime is 24825422891. The reversal of 24825422880 is 8822452842.

24825422880 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 542 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2008399 + ... + 2020721.

It is an arithmetic number, because the mean of its divisors is an integer number (588779100).

Almost surely, 2^24825422880 is an apocalyptic number.

24825422880 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 24825422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42392095200).

24825422880 is an abundant number, since it is smaller than the sum of its proper divisors (59958767520).

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

24825422880 is a wasteful number, since it uses less digits than its factorization.

24825422880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13743 (or 13732 counting only the distinct ones).

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

The spelling of 24825422880 in words is "twenty-four billion, eight hundred twenty-five million, four hundred twenty-two thousand, eight hundred eighty".