25727457142536 has 256 divisors, whose sum is σ = 68347474272000. Its totient is φ = 8058931937280.

The previous prime is 25727457142523. The next prime is 25727457142613. The reversal of 25727457142536 is 63524175472752.

It is a super-3 number, since 3×25727457142536³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 25727457142536.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6615440880 + ... + 6615444768.

It is an arithmetic number, because the mean of its divisors is an integer number (266982321375).

Almost surely, 2^{25727457142536} 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 25727457142536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34173737136000).

25727457142536 is an abundant number, since it is smaller than the sum of its proper divisors (42620017129464).

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

25727457142536 is a wasteful number, since it uses less digits than its factorization.

25727457142536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5748 counting only the distinct ones).

The product of its digits is 98784000, while the sum is 60.

The spelling of 25727457142536 in words is "twenty-five trillion, seven hundred twenty-seven billion, four hundred fifty-seven million, one hundred forty-two thousand, five hundred thirty-six".