26867081168100 has 180 divisors, whose sum is σ = 92215549522404. Its totient is φ = 6743110533120.

The previous prime is 26867081168087. The next prime is 26867081168119. The reversal of 26867081168100 is 186118076862.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 137105797284 + 26729975370816 = 370278^2 + 5170104^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×26867081168100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 97418877 + ... + 97694276.

Almost surely, 2^{26867081168100} is an apocalyptic number.

26867081168100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26867081168100 is an abundant number, since it is smaller than the sum of its proper divisors (65348468354304).

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

26867081168100 is a wasteful number, since it uses less digits than its factorization.

26867081168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195113196 (or 195113180 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 26867081168100 in words is "twenty-six trillion, eight hundred sixty-seven billion, eighty-one million, one hundred sixty-eight thousand, one hundred".