25857081742536 has 128 divisors (see below), whose sum is σ = 79346626560000. Its totient is φ = 7736295977280.

The previous prime is 25857081742529. The next prime is 25857081742537. The reversal of 25857081742536 is 63524718075852.

25857081742536 is a `hidden beast` number, since 2 + 5 + 8 + 57 + 0 + 8 + 1 + 7 + 42 + 536 = 666.

It is a super-2 number, since 2×25857081742536² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25857081742537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68689576 + ... + 69064983.

It is an arithmetic number, because the mean of its divisors is an integer number (619895520000).

Almost surely, 2^{25857081742536} is an apocalyptic number.

It is an amenable number.

25857081742536 is an abundant number, since it is smaller than the sum of its proper divisors (53489544817464).

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

25857081742536 is a wasteful number, since it uses less digits than its factorization.

25857081742536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137754664 (or 137754654 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 25857081742536 in words is "twenty-five trillion, eight hundred fifty-seven billion, eighty-one million, seven hundred forty-two thousand, five hundred thirty-six".