25506847093728 has 1920 divisors, whose sum is σ = 97570204300800. Its totient is φ = 5769617817600.

The previous prime is 25506847093687. The next prime is 25506847093751. The reversal of 25506847093728 is 82739074860552.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 105837539688 + ... + 105837539928.

It is an arithmetic number, because the mean of its divisors is an integer number (50817814740).

Almost surely, 2^{25506847093728} is an apocalyptic number.

25506847093728 is a gapful number since it is divisible by the number (28) 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 25506847093728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48785102150400).

25506847093728 is an abundant number, since it is smaller than the sum of its proper divisors (72063357207072).

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

25506847093728 is a wasteful number, since it uses less digits than its factorization.

25506847093728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 25506847093728 in words is "twenty-five trillion, five hundred six billion, eight hundred forty-seven million, ninety-three thousand, seven hundred twenty-eight".