26979823589628 has 384 divisors, whose sum is σ = 81531186315264. Its totient is φ = 6752597529600.

The previous prime is 26979823589627. The next prime is 26979823589639. The reversal of 26979823589628 is 82698532897962.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26979823589623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6299279575 + ... + 6299283857.

It is an arithmetic number, because the mean of its divisors is an integer number (212320797696).

Almost surely, 2^{26979823589628} is an apocalyptic number.

26979823589628 is a gapful number since it is divisible by the number (28) 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 26979823589628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40765593157632).

26979823589628 is an abundant number, since it is smaller than the sum of its proper divisors (54551362725636).

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

26979823589628 is a wasteful number, since it uses less digits than its factorization.

26979823589628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905 (or 7903 counting only the distinct ones).

The product of its digits is 11287019520, while the sum is 84.

The spelling of 26979823589628 in words is "twenty-six trillion, nine hundred seventy-nine billion, eight hundred twenty-three million, five hundred eighty-nine thousand, six hundred twenty-eight".