24872332745904 has 320 divisors, whose sum is σ = 77594271744000. Its totient is φ = 6714606689280.

The previous prime is 24872332745881. The next prime is 24872332745917. The reversal of 24872332745904 is 40954723327842.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1343206854 + ... + 1343225370.

It is an arithmetic number, because the mean of its divisors is an integer number (242482099200).

Almost surely, 2^{24872332745904} is an apocalyptic number.

24872332745904 is a gapful number since it is divisible by the number (24) 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 24872332745904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38797135872000).

24872332745904 is an abundant number, since it is smaller than the sum of its proper divisors (52721938998096).

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

24872332745904 is a wasteful number, since it uses less digits than its factorization.

24872332745904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21608 (or 21602 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 60.

The spelling of 24872332745904 in words is "twenty-four trillion, eight hundred seventy-two billion, three hundred thirty-two million, seven hundred forty-five thousand, nine hundred four".