26085785578100 has 18 divisors (see below), whose sum is σ = 56606154704694. Its totient is φ = 10434314231200.

The previous prime is 26085785578081. The next prime is 26085785578147. The reversal of 26085785578100 is 187558758062.

It can be written as a sum of positive squares in 3 ways, for example, as 155264369296 + 25930521208804 = 394036^2 + 5092202^2 .

It is a super-2 number, since 2×26085785578100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130428927791 + ... + 130428927990.

It is an arithmetic number, because the mean of its divisors is an integer number (3144786372483).

Almost surely, 2^{26085785578100} is an apocalyptic number.

26085785578100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26085785578100 is an abundant number, since it is smaller than the sum of its proper divisors (30520369126594).

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

26085785578100 is a wasteful number, since it uses less digits than its factorization.

26085785578100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260857855795 (or 260857855788 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 62.

The spelling of 26085785578100 in words is "twenty-six trillion, eighty-five billion, seven hundred eighty-five million, five hundred seventy-eight thousand, one hundred".