27006100988904 has 320 divisors, whose sum is σ = 76854757122000. Its totient is φ = 8858974924800.

The previous prime is 27006100988903. The next prime is 27006100988963. The reversal of 27006100988904 is 40988900160072.

It can be written as a sum of positive squares in 8 ways, for example, as 16396814292804 + 10609286696100 = 4049298^2 + 3257190^2 .

It is a super-2 number, since 2×27006100988904² (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 not an unprimeable number, because it can be changed into a prime (27006100988903) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 7968750442 + ... + 7968753830.

Almost surely, 2^{27006100988904} is an apocalyptic number.

27006100988904 is a gapful number since it is divisible by the number (24) 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 27006100988904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38427378561000).

27006100988904 is an abundant number, since it is smaller than the sum of its proper divisors (49848656133096).

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

27006100988904 is a wasteful number, since it uses less digits than its factorization.

27006100988904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 27006100988904 in words is "twenty-seven trillion, six billion, one hundred million, nine hundred eighty-eight thousand, nine hundred four".