26872884192 has 432 divisors, whose sum is σ = 93166972416. Its totient is φ = 6750374400.

The previous prime is 26872884149. The next prime is 26872884193. The reversal of 26872884192 is 29148827862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26872884193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17643943 + ... + 17645465.

It is an arithmetic number, because the mean of its divisors is an integer number (215664288).

Almost surely, 2^26872884192 is an apocalyptic number.

26872884192 is a gapful number since it is divisible by the number (22) 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 26872884192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46583486208).

26872884192 is an abundant number, since it is smaller than the sum of its proper divisors (66294088224).

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

26872884192 is a wasteful number, since it uses less digits than its factorization.

26872884192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1577 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The spelling of 26872884192 in words is "twenty-six billion, eight hundred seventy-two million, eight hundred eighty-four thousand, one hundred ninety-two".