25827240549006 has 96 divisors (see below), whose sum is σ = 62150733738720. Its totient is φ = 7946543494656.

The previous prime is 25827240548999. The next prime is 25827240549049. The reversal of 25827240549006 is 60094504272852.

25827240549006 is a `hidden beast` number, since 2 + 5 + 82 + 72 + 4 + 0 + 5 + 490 + 0 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447482806 + ... + 447540518.

It is an arithmetic number, because the mean of its divisors is an integer number (647403476445).

Almost surely, 2^{25827240549006} is an apocalyptic number.

25827240549006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

25827240549006 is an abundant number, since it is smaller than the sum of its proper divisors (36323493189714).

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

25827240549006 is a wasteful number, since it uses less digits than its factorization.

25827240549006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106787 (or 106768 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 25827240549006 in words is "twenty-five trillion, eight hundred twenty-seven billion, two hundred forty million, five hundred forty-nine thousand, six".