25864731648 has 352 divisors, whose sum is σ = 88430400000. Its totient is φ = 7314997248.

The previous prime is 25864731643. The next prime is 25864731649. The reversal of 25864731648 is 84613746852.

It is a happy number.

25864731648 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 473 + 164 + 8 = 666.

It is a super-3 number, since 3×25864731648³ (a number of 32 digits) contains 333 as substring.

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 = 25864731594 and 25864731603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25864731643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20707728 + ... + 20708976.

Almost surely, 2^25864731648 is an apocalyptic number.

25864731648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25864731648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44215200000).

25864731648 is an abundant number, since it is smaller than the sum of its proper divisors (62565668352).

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

25864731648 is a wasteful number, since it uses less digits than its factorization.

25864731648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1368 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 25864731648 in words is "twenty-five billion, eight hundred sixty-four million, seven hundred thirty-one thousand, six hundred forty-eight".