24955699968 has 144 divisors (see below), whose sum is σ = 73882015200. Its totient is φ = 8309145600.

The previous prime is 24955699927. The next prime is 24955699997. The reversal of 24955699968 is 86999655942.

24955699968 is a `hidden beast` number, since 2 + 4 + 9 + 556 + 9 + 9 + 9 + 68 = 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 24955699896 and 24955699905.

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 15 ways as a sum of consecutive naturals, for example, 8908168 + ... + 8910968.

It is an arithmetic number, because the mean of its divisors is an integer number (513069550).

Almost surely, 2^24955699968 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 24955699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36941007600).

24955699968 is an abundant number, since it is smaller than the sum of its proper divisors (48926315232).

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

24955699968 is a wasteful number, since it uses less digits than its factorization.

24955699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4095 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 72.

The spelling of 24955699968 in words is "twenty-four billion, nine hundred fifty-five million, six hundred ninety-nine thousand, nine hundred sixty-eight".