27106407000 has 672 divisors, whose sum is σ = 101343134880. Its totient is φ = 6781449600.

The previous prime is 27106406983. The next prime is 27106407023. The reversal of 27106407000 is 70460172.

27106407000 is a `hidden beast` number, since 2 + 7 + 10 + 640 + 7 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 167 ways as a sum of consecutive naturals, for example, 263168949 + ... + 263169051.

Almost surely, 2^27106407000 is an apocalyptic number.

27106407000 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 27106407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50671567440).

27106407000 is an abundant number, since it is smaller than the sum of its proper divisors (74236727880).

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

27106407000 is a wasteful number, since it uses less digits than its factorization.

27106407000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 27106407000 its reverse (70460172), we get a palindrome (27176867172).

The spelling of 27106407000 in words is "twenty-seven billion, one hundred six million, four hundred seven thousand".