26872595987328 has 1920 divisors, whose sum is σ = 102783731688000. Its totient is φ = 6961582817280.

The previous prime is 26872595987297. The next prime is 26872595987353. The reversal of 26872595987328 is 82378959527862.

26872595987328 is a `hidden beast` number, since 2 + 68 + 72 + 5 + 95 + 9 + 87 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 36661112850 + ... + 36661113582.

Almost surely, 2^{26872595987328} is an apocalyptic number.

26872595987328 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 26872595987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51391865844000).

26872595987328 is an abundant number, since it is smaller than the sum of its proper divisors (75911135700672).

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

26872595987328 is an equidigital number, since it uses as much as digits as its factorization.

26872595987328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 819 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 81.

The spelling of 26872595987328 in words is "twenty-six trillion, eight hundred seventy-two billion, five hundred ninety-five million, nine hundred eighty-seven thousand, three hundred twenty-eight".