26189056080 has 600 divisors, whose sum is σ = 101149526016. Its totient is φ = 6274920960.

The previous prime is 26189056051. The next prime is 26189056097. The reversal of 26189056080 is 8065098162.

26189056080 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 9 + 0 + 560 + 80 = 666.

It is a super-2 number, since 2×26189056080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 99578029 + ... + 99578291.

Almost surely, 2^26189056080 is an apocalyptic number.

26189056080 is a gapful number since it is divisible by the number (20) 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 26189056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50574763008).

26189056080 is an abundant number, since it is smaller than the sum of its proper divisors (74960469936).

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

26189056080 is a wasteful number, since it uses less digits than its factorization.

26189056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 26189056080 in words is "twenty-six billion, one hundred eighty-nine million, fifty-six thousand, eighty".