24872972544 has 432 divisors, whose sum is σ = 87906978432. Its totient is φ = 6601900032.

The previous prime is 24872972533. The next prime is 24872972569. The reversal of 24872972544 is 44527927842.

24872972544 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 2 + 97 + 2 + 544 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22756062 + ... + 22757154.

It is an arithmetic number, because the mean of its divisors is an integer number (203488376).

Almost surely, 2^24872972544 is an apocalyptic number.

24872972544 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 24872972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43953489216).

24872972544 is an abundant number, since it is smaller than the sum of its proper divisors (63034005888).

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

24872972544 is a wasteful number, since it uses less digits than its factorization.

24872972544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1205 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 24872972544 in words is "twenty-four billion, eight hundred seventy-two million, nine hundred seventy-two thousand, five hundred forty-four".