24995748960 has 1152 divisors, whose sum is σ = 111386741760. Its totient is φ = 5123948544.

The previous prime is 24995748959. The next prime is 24995748977. The reversal of 24995748960 is 6984759942.

24995748960 is a `hidden beast` number, since 2 + 4 + 9 + 95 + 7 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 342407484 + ... + 342407556.

It is an arithmetic number, because the mean of its divisors is an integer number (96689880).

Almost surely, 2^24995748960 is an apocalyptic number.

24995748960 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 24995748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55693370880).

24995748960 is an abundant number, since it is smaller than the sum of its proper divisors (86390992800).

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

24995748960 is a wasteful number, since it uses less digits than its factorization.

24995748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 24995748960 in words is "twenty-four billion, nine hundred ninety-five million, seven hundred forty-eight thousand, nine hundred sixty".