24788090880 has 480 divisors, whose sum is σ = 100786049280. Its totient is φ = 5662310400.

The previous prime is 24788090867. The next prime is 24788090989. The reversal of 24788090880 is 8809088742.

24788090880 is a `hidden beast` number, since 2 + 478 + 8 + 0 + 90 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×24788090880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482080 + ... + 15483680.

It is an arithmetic number, because the mean of its divisors is an integer number (209970936).

Almost surely, 2^24788090880 is an apocalyptic number.

24788090880 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 24788090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50393024640).

24788090880 is an abundant number, since it is smaller than the sum of its proper divisors (75997958400).

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

24788090880 is an equidigital number, since it uses as much as digits as its factorization.

24788090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 24788090880 in words is "twenty-four billion, seven hundred eighty-eight million, ninety thousand, eight hundred eighty".