25756476768 has 576 divisors, whose sum is σ = 88295961600. Its totient is φ = 7239767040.

The previous prime is 25756476761. The next prime is 25756476797. The reversal of 25756476768 is 86767465752.

25756476768 is a `hidden beast` number, since 2 + 5 + 7 + 564 + 7 + 6 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25756476761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236297898 + ... + 236298006.

It is an arithmetic number, because the mean of its divisors is an integer number (153291600).

Almost surely, 2^25756476768 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 25756476768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44147980800).

25756476768 is an abundant number, since it is smaller than the sum of its proper divisors (62539484832).

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

25756476768 is a wasteful number, since it uses less digits than its factorization.

25756476768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 25756476768 in words is "twenty-five billion, seven hundred fifty-six million, four hundred seventy-six thousand, seven hundred sixty-eight".