25565767752 has 256 divisors, whose sum is σ = 76684608000. Its totient is φ = 6951370752.

The previous prime is 25565767687. The next prime is 25565767769. The reversal of 25565767752 is 25776756552.

It is a junction number, because it is equal to n+sod(n) for n = 25565767692 and 25565767701.

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, 65721574 + ... + 65721962.

It is an arithmetic number, because the mean of its divisors is an integer number (299549250).

Almost surely, 2^25565767752 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 25565767752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38342304000).

25565767752 is an abundant number, since it is smaller than the sum of its proper divisors (51118840248).

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

25565767752 is a wasteful number, since it uses less digits than its factorization.

25565767752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 644 counting only the distinct ones).

The product of its digits is 30870000, while the sum is 57.

The spelling of 25565767752 in words is "twenty-five billion, five hundred sixty-five million, seven hundred sixty-seven thousand, seven hundred fifty-two".