25764511546752 has 128 divisors (see below), whose sum is σ = 75105586886400. Its totient is φ = 7760676464640.

The previous prime is 25764511546751. The next prime is 25764511546759.

25764511546752 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25764511546751) 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, 17556727 + ... + 18967542.

It is an arithmetic number, because the mean of its divisors is an integer number (586762397550).

Almost surely, 2^{25764511546752} is an apocalyptic number.

25764511546752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25764511546752 is an abundant number, since it is smaller than the sum of its proper divisors (49341075339648).

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

25764511546752 is a wasteful number, since it uses less digits than its factorization.

25764511546752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36524464 (or 36524452 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 60.

The spelling of 25764511546752 in words is "twenty-five trillion, seven hundred sixty-four billion, five hundred eleven million, five hundred forty-six thousand, seven hundred fifty-two".