25958408364 has 288 divisors, whose sum is σ = 80084471040. Its totient is φ = 7248600576.

The previous prime is 25958408353. The next prime is 25958408381. The reversal of 25958408364 is 46380485952.

25958408364 is a `hidden beast` number, since 2 + 59 + 584 + 0 + 8 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25958408364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49633407 + ... + 49633929.

It is an arithmetic number, because the mean of its divisors is an integer number (278071080).

Almost surely, 2^25958408364 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 25958408364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40042235520).

25958408364 is an abundant number, since it is smaller than the sum of its proper divisors (54126062676).

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

25958408364 is a wasteful number, since it uses less digits than its factorization.

25958408364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 25958408364 in words is "twenty-five billion, nine hundred fifty-eight million, four hundred eight thousand, three hundred sixty-four".