24825325140 has 576 divisors, whose sum is σ = 102047662080. Its totient is φ = 4727808000.

The previous prime is 24825325081. The next prime is 24825325181. The reversal of 24825325140 is 4152352842.

24825325140 is a `hidden beast` number, since 2 + 4 + 82 + 532 + 5 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24825325095 and 24825325104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8162020 + ... + 8165060.

It is an arithmetic number, because the mean of its divisors is an integer number (177166080).

Almost surely, 2^24825325140 is an apocalyptic number.

24825325140 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 24825325140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51023831040).

24825325140 is an abundant number, since it is smaller than the sum of its proper divisors (77222336940).

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

24825325140 is a wasteful number, since it uses less digits than its factorization.

24825325140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 24825325140 its reverse (4152352842), we get a palindrome (28977677982).

The spelling of 24825325140 in words is "twenty-four billion, eight hundred twenty-five million, three hundred twenty-five thousand, one hundred forty".