25372253821824 has 3072 divisors, whose sum is σ = 102789679104000. Its totient is φ = 6065966776320.

The previous prime is 25372253821807. The next prime is 25372253821877. The reversal of 25372253821824 is 42812835227352.

25372253821824 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 2 + 2 + 538 + 21 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 285081503572 + ... + 285081503660.

It is an arithmetic number, because the mean of its divisors is an integer number (33460182000).

Almost surely, 2^{25372253821824} is an apocalyptic number.

25372253821824 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 25372253821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51394839552000).

25372253821824 is an abundant number, since it is smaller than the sum of its proper divisors (77417425282176).

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

25372253821824 is an equidigital number, since it uses as much as digits as its factorization.

25372253821824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 164 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 25372253821824 in words is "twenty-five trillion, three hundred seventy-two billion, two hundred fifty-three million, eight hundred twenty-one thousand, eight hundred twenty-four".