24827042912 has 288 divisors, whose sum is σ = 61798282560. Its totient is φ = 9599385600.

The previous prime is 24827042897. The next prime is 24827042921. The reversal of 24827042912 is 21924072842.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 24827042912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255948848 + ... + 255948944.

It is an arithmetic number, because the mean of its divisors is an integer number (214577370).

Almost surely, 2^24827042912 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 24827042912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30899141280).

24827042912 is an abundant number, since it is smaller than the sum of its proper divisors (36971239648).

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

24827042912 is a wasteful number, since it uses less digits than its factorization.

24827042912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 24827042912 in words is "twenty-four billion, eight hundred twenty-seven million, forty-two thousand, nine hundred twelve".