25958171904 has 576 divisors, whose sum is σ = 87029268480. Its totient is φ = 6709248000.

The previous prime is 25958171893. The next prime is 25958171909. The reversal of 25958171904 is 40917185952.

It is a super-2 number, since 2×25958171904² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25958171909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198153919 + ... + 198154049.

It is an arithmetic number, because the mean of its divisors is an integer number (151092480).

Almost surely, 2^25958171904 is an apocalyptic number.

25958171904 is a gapful number since it is divisible by the number (24) 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 25958171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43514634240).

25958171904 is an abundant number, since it is smaller than the sum of its proper divisors (61071096576).

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

25958171904 is a wasteful number, since it uses less digits than its factorization.

25958171904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 25958171904 in words is "twenty-five billion, nine hundred fifty-eight million, one hundred seventy-one thousand, nine hundred four".