25106703673728 has 256 divisors, whose sum is σ = 74465143084800. Its totient is φ = 7448392433664.

The previous prime is 25106703673687. The next prime is 25106703673739. The reversal of 25106703673728 is 82737630760152.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67660476 + ... + 68030532.

It is an arithmetic number, because the mean of its divisors is an integer number (290879465175).

Almost surely, 2^{25106703673728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25106703673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37232571542400).

25106703673728 is an abundant number, since it is smaller than the sum of its proper divisors (49358439411072).

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

25106703673728 is a wasteful number, since it uses less digits than its factorization.

25106703673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370657 (or 370645 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 57.

The spelling of 25106703673728 in words is "twenty-five trillion, one hundred six billion, seven hundred three million, six hundred seventy-three thousand, seven hundred twenty-eight".