25761083850 has 144 divisors (see below), whose sum is σ = 70626027264. Its totient is φ = 6730128000.

The previous prime is 25761083779. The next prime is 25761083867. The reversal of 25761083850 is 5838016752.

25761083850 is a `hidden beast` number, since 25 + 7 + 610 + 8 + 3 + 8 + 5 + 0 = 666.

It is a super-2 number, since 2×25761083850² (a number of 22 digits) contains 22 as substring.

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 = 25761083796 and 25761083805.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7437219 + ... + 7440681.

Almost surely, 2^25761083850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25761083850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35313013632).

25761083850 is an abundant number, since it is smaller than the sum of its proper divisors (44864943414).

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

25761083850 is a wasteful number, since it uses less digits than its factorization.

25761083850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 25761083850 in words is "twenty-five billion, seven hundred sixty-one million, eighty-three thousand, eight hundred fifty".