25538947434 has 256 divisors, whose sum is σ = 78663352320. Its totient is φ = 5925312000.

The previous prime is 25538947351. The next prime is 25538947439. The reversal of 25538947434 is 43474983552.

25538947434 is a `hidden beast` number, since 2 + 5 + 538 + 9 + 4 + 74 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25538947439) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1668054 + ... + 1683294.

It is an arithmetic number, because the mean of its divisors is an integer number (307278720).

Almost surely, 2^25538947434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25538947434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39331676160).

25538947434 is an abundant number, since it is smaller than the sum of its proper divisors (53124404886).

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

25538947434 is a wasteful number, since it uses less digits than its factorization.

25538947434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15314 (or 15308 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 25538947434 in words is "twenty-five billion, five hundred thirty-eight million, nine hundred forty-seven thousand, four hundred thirty-four".