25887689538048 has 1600 divisors, whose sum is σ = 90656510424480. Its totient is φ = 7282976882688.

The previous prime is 25887689538037. The next prime is 25887689538089. The reversal of 25887689538048 is 84083598678852.

It is a happy number.

25887689538048 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 76 + 8 + 9 + 538 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3288390545664 + 22599298992384 = 1813392^2 + 4753872^2 .

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66549330238 + ... + 66549330626.

Almost surely, 2^{25887689538048} 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 25887689538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45328255212240).

25887689538048 is an abundant number, since it is smaller than the sum of its proper divisors (64768820886432).

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

25887689538048 is a wasteful number, since it uses less digits than its factorization.

25887689538048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 7431782400, while the sum is 81.

The spelling of 25887689538048 in words is "twenty-five trillion, eight hundred eighty-seven billion, six hundred eighty-nine million, five hundred thirty-eight thousand, forty-eight".