24972085824 has 112 divisors (see below), whose sum is σ = 77352729216. Its totient is φ = 6960844800.

The previous prime is 24972085823. The next prime is 24972085847. The reversal of 24972085824 is 42858027942.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (24972085823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171487 + ... + 281694.

It is an arithmetic number, because the mean of its divisors is an integer number (690649368).

Almost surely, 2^24972085824 is an apocalyptic number.

24972085824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24972085824 is an abundant number, since it is smaller than the sum of its proper divisors (52380643392).

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

24972085824 is a wasteful number, since it uses less digits than its factorization.

24972085824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453244 (or 453234 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 24972085824 in words is "twenty-four billion, nine hundred seventy-two million, eighty-five thousand, eight hundred twenty-four".