25601505536250 has 640 divisors, whose sum is σ = 83089050992640. Its totient is φ = 5719559040000.

The previous prime is 25601505536227. The next prime is 25601505536279. The reversal of 25601505536250 is 5263550510652.

25601505536250 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 15 + 0 + 5 + 5 + 3 + 625 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 25601505536196 and 25601505536205.

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, 13668715314 + ... + 13668717186.

It is an arithmetic number, because the mean of its divisors is an integer number (129826642176).

Almost surely, 2^{25601505536250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25601505536250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41544525496320).

25601505536250 is an abundant number, since it is smaller than the sum of its proper divisors (57487545456390).

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

25601505536250 is a wasteful number, since it uses less digits than its factorization.

25601505536250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 25601505536250 in words is "twenty-five trillion, six hundred one billion, five hundred five million, five hundred thirty-six thousand, two hundred fifty".