25837852271616 has 1584 divisors, whose sum is σ = 102886011371520. Its totient is φ = 6152122368000.

The previous prime is 25837852271599. The next prime is 25837852271681. The reversal of 25837852271616 is 61617225873852.

25837852271616 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 7 + 8 + 5 + 2 + 2 + 7 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×25837852271616² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2925808321 + ... + 2925817151.

Almost surely, 2^{25837852271616} 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 25837852271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51443005685760).

25837852271616 is an abundant number, since it is smaller than the sum of its proper divisors (77048159099904).

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

25837852271616 is a wasteful number, since it uses less digits than its factorization.

25837852271616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932 (or 8904 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 25837852271616 in words is "twenty-five trillion, eight hundred thirty-seven billion, eight hundred fifty-two million, two hundred seventy-one thousand, six hundred sixteen".