25851145201728 has 672 divisors, whose sum is σ = 90034331650560. Its totient is φ = 6468507279360.

The previous prime is 25851145201703. The next prime is 25851145201733. The reversal of 25851145201728 is 82710254115852.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324809043 + ... + 324888621.

Almost surely, 2^{25851145201728} is an apocalyptic number.

25851145201728 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 25851145201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45017165825280).

25851145201728 is an abundant number, since it is smaller than the sum of its proper divisors (64183186448832).

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

25851145201728 is a wasteful number, since it uses less digits than its factorization.

25851145201728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79735 (or 79718 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 51.

The spelling of 25851145201728 in words is "twenty-five trillion, eight hundred fifty-one billion, one hundred forty-five million, two hundred one thousand, seven hundred twenty-eight".