24788115072 has 768 divisors, whose sum is σ = 92439809280. Its totient is φ = 6449725440.

The previous prime is 24788115067. The next prime is 24788115073. The reversal of 24788115072 is 27051188742.

It is a super-2 number, since 2×24788115072² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24788115073) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 136950822 + ... + 136951002.

It is an arithmetic number, because the mean of its divisors is an integer number (120364335).

Almost surely, 2^24788115072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24788115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46219904640).

24788115072 is an abundant number, since it is smaller than the sum of its proper divisors (67651694208).

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

24788115072 is a wasteful number, since it uses less digits than its factorization.

24788115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 24788115072 in words is "twenty-four billion, seven hundred eighty-eight million, one hundred fifteen thousand, seventy-two".