25724788742752 has 48 divisors (see below), whose sum is σ = 55258721964432. Its totient is φ = 11691203973120.

The previous prime is 25724788742717. The next prime is 25724788742801.

25724788742752 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×25724788742752³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3689193 + ... + 8065960.

It is an arithmetic number, because the mean of its divisors is an integer number (1151223374259).

Almost surely, 2^{25724788742752} is an apocalyptic number.

25724788742752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25724788742752 is an abundant number, since it is smaller than the sum of its proper divisors (29533933221680).

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

25724788742752 is a wasteful number, since it uses less digits than its factorization.

25724788742752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11761391 (or 11761383 counting only the distinct ones).

The product of its digits is 983449600, while the sum is 70.

The spelling of 25724788742752 in words is "twenty-five trillion, seven hundred twenty-four billion, seven hundred eighty-eight million, seven hundred forty-two thousand, seven hundred fifty-two".