26538767642772 has 72 divisors (see below), whose sum is σ = 83637328337472. Its totient is φ = 6893186400000.

The previous prime is 26538767642743. The next prime is 26538767642789. The reversal of 26538767642772 is 27724676783562.

26538767642772 is a `hidden beast` number, since 2 + 6 + 53 + 87 + 6 + 7 + 6 + 427 + 72 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26538767642772.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4786932229 + ... + 4786937772.

Almost surely, 2^{26538767642772} is an apocalyptic number.

26538767642772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

26538767642772 is an abundant number, since it is smaller than the sum of its proper divisors (57098560694700).

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

26538767642772 is a wasteful number, since it uses less digits than its factorization.

26538767642772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573870029 (or 9573870024 counting only the distinct ones).

The product of its digits is 1991485440, while the sum is 72.

The spelling of 26538767642772 in words is "twenty-six trillion, five hundred thirty-eight billion, seven hundred sixty-seven million, six hundred forty-two thousand, seven hundred seventy-two".