25273675350 has 864 divisors, whose sum is σ = 94328962560. Its totient is φ = 4861296000.

The previous prime is 25273675267. The next prime is 25273675351. The reversal of 25273675350 is 5357637252.

25273675350 is a `hidden beast` number, since 2 + 52 + 7 + 3 + 67 + 535 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 = 25273675296 and 25273675305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25273675351) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 815279835 + ... + 815279865.

It is an arithmetic number, because the mean of its divisors is an integer number (109177040).

Almost surely, 2^25273675350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25273675350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47164481280).

25273675350 is an abundant number, since it is smaller than the sum of its proper divisors (69055287210).

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

25273675350 is a wasteful number, since it uses less digits than its factorization.

25273675350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 25273675350 in words is "twenty-five billion, two hundred seventy-three million, six hundred seventy-five thousand, three hundred fifty".