26398524672 has 540 divisors, whose sum is σ = 88348089984. Its totient is φ = 7860602880.

The previous prime is 26398524653. The next prime is 26398524701. The reversal of 26398524672 is 27642589362.

26398524672 is a `hidden beast` number, since 2 + 6 + 398 + 5 + 246 + 7 + 2 = 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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 851565297 + ... + 851565327.

Almost surely, 2^26398524672 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 26398524672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44174044992).

26398524672 is an abundant number, since it is smaller than the sum of its proper divisors (61949565312).

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

26398524672 is an frugal number, since it uses more digits than its factorization.

26398524672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 26398524672 in words is "twenty-six billion, three hundred ninety-eight million, five hundred twenty-four thousand, six hundred seventy-two".