25724788742751 has 16 divisors (see below), whose sum is σ = 39199873346304. Its totient is φ = 14699806058304.

The previous prime is 25724788742717. The next prime is 25724788742801. The reversal of 25724788742751 is 15724788742752.

It is not a de Polignac number, because 25724788742751 - 2¹³ = 25724788734559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25724788742711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1417440 + ... + 7311546.

It is an arithmetic number, because the mean of its divisors is an integer number (2449992084144).

Almost surely, 2^{25724788742751} is an apocalyptic number.

25724788742751 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

25724788742751 is a deficient number, since it is larger than the sum of its proper divisors (13475084603553).

25724788742751 is a wasteful number, since it uses less digits than its factorization.

25724788742751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6101950.

The product of its digits is 491724800, while the sum is 69.

Subtracting from 25724788742751 its reverse (15724788742752), we obtain a palindrome (9999999999999).

The spelling of 25724788742751 in words is "twenty-five trillion, seven hundred twenty-four billion, seven hundred eighty-eight million, seven hundred forty-two thousand, seven hundred fifty-one".