24997795560 has 320 divisors, whose sum is σ = 86268402000. Its totient is φ = 6489759744.

The previous prime is 24997795549. The next prime is 24997795583. The reversal of 24997795560 is 6559779942.

24997795560 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 7 + 79 + 556 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14731647876 + 10266147684 = 121374^2 + 101322^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25585792 + ... + 25586768.

Almost surely, 2^24997795560 is an apocalyptic number.

24997795560 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 24997795560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43134201000).

24997795560 is an abundant number, since it is smaller than the sum of its proper divisors (61270606440).

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

24997795560 is a wasteful number, since it uses less digits than its factorization.

24997795560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 24997795560 in words is "twenty-four billion, nine hundred ninety-seven million, seven hundred ninety-five thousand, five hundred sixty".