25762617648 has 200 divisors, whose sum is σ = 76962417840. Its totient is φ = 8314583040.

The previous prime is 25762617641. The next prime is 25762617667. The reversal of 25762617648 is 84671626752.

It is a happy number.

25762617648 is a `hidden beast` number, since 2 + 5 + 7 + 626 + 1 + 7 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25762617594 and 25762617603.

It is not an unprimeable number, because it can be changed into a prime (25762617641) 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 39 ways as a sum of consecutive naturals, for example, 7277863 + ... + 7281401.

Almost surely, 2^25762617648 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 25762617648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38481208920).

25762617648 is an abundant number, since it is smaller than the sum of its proper divisors (51199800192).

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

25762617648 is a wasteful number, since it uses less digits than its factorization.

25762617648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3722 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 25762617648 in words is "twenty-five billion, seven hundred sixty-two million, six hundred seventeen thousand, six hundred forty-eight".