25506126756 has 432 divisors, whose sum is σ = 78078873600. Its totient is φ = 6990572160.

The previous prime is 25506126739. The next prime is 25506126757. The reversal of 25506126756 is 65762160552.

25506126756 is a `hidden beast` number, since 2 + 550 + 6 + 1 + 26 + 75 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (25506126757) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 307302691 + ... + 307302773.

Almost surely, 2^25506126756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25506126756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39039436800).

25506126756 is an abundant number, since it is smaller than the sum of its proper divisors (52572746844).

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

25506126756 is a wasteful number, since it uses less digits than its factorization.

25506126756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 25506126756 in words is "twenty-five billion, five hundred six million, one hundred twenty-six thousand, seven hundred fifty-six".