25028608000 has 360 divisors, whose sum is σ = 69344671032. Its totient is φ = 9011200000.

The previous prime is 25028607937. The next prime is 25028608061. The reversal of 25028608000 is 80682052.

It can be written as a sum of positive squares in 4 ways, for example, as 160579584 + 24868028416 = 12672^2 + 157696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247807950 + ... + 247808050.

Almost surely, 2^25028608000 is an apocalyptic number.

25028608000 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 25028608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34672335516).

25028608000 is an abundant number, since it is smaller than the sum of its proper divisors (44316063032).

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

25028608000 is an equidigital number, since it uses as much as digits as its factorization.

25028608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 25028608000 in words is "twenty-five billion, twenty-eight million, six hundred eight thousand".