25958671983321 has 384 divisors, whose sum is σ = 48092990668800. Its totient is φ = 12142690560000.

The previous prime is 25958671983263. The next prime is 25958671983353. The reversal of 25958671983321 is 12338917685952.

It is not a de Polignac number, because 25958671983321 - 2¹⁷ = 25958671852249 is a prime.

It is a super-2 number, since 2×25958671983321² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25958671983121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28494699856 + ... + 28494700766.

It is an arithmetic number, because the mean of its divisors is an integer number (125242163200).

Almost surely, 2^{25958671983321} is an apocalyptic number.

25958671983321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

25958671983321 is a deficient number, since it is larger than the sum of its proper divisors (22134318685479).

25958671983321 is a wasteful number, since it uses less digits than its factorization.

25958671983321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1302 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 69.

The spelling of 25958671983321 in words is "twenty-five trillion, nine hundred fifty-eight billion, six hundred seventy-one million, nine hundred eighty-three thousand, three hundred twenty-one".