24997085568 has 512 divisors, whose sum is σ = 92360755200. Its totient is φ = 6479585280.

The previous prime is 24997085551. The next prime is 24997085573. The reversal of 24997085568 is 86558079942.

24997085568 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 70 + 8 + 556 + 8 = 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 63 ways as a sum of consecutive naturals, for example, 19183605 + ... + 19184907.

It is an arithmetic number, because the mean of its divisors is an integer number (180392100).

Almost surely, 2^24997085568 is an apocalyptic number.

24997085568 is a gapful number since it is divisible by the number (28) 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 24997085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46180377600).

24997085568 is an abundant number, since it is smaller than the sum of its proper divisors (67363669632).

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

24997085568 is a wasteful number, since it uses less digits than its factorization.

24997085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 24997085568 in words is "twenty-four billion, nine hundred ninety-seven million, eighty-five thousand, five hundred sixty-eight".