25628168000 has 112 divisors (see below), whose sum is σ = 63709448400. Its totient is φ = 10212300800.

The previous prime is 25628167969. The next prime is 25628168021. The reversal of 25628168000 is 86182652.

It can be written as a sum of positive squares in 8 ways, for example, as 16999987456 + 8628180544 = 130384^2 + 92888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146046 + ... + 2157954.

Almost surely, 2^25628168000 is an apocalyptic number.

25628168000 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 25628168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31854724200).

25628168000 is an abundant number, since it is smaller than the sum of its proper divisors (38081280400).

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

25628168000 is a wasteful number, since it uses less digits than its factorization.

25628168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12205 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 25628168000 in words is "twenty-five billion, six hundred twenty-eight million, one hundred sixty-eight thousand".