27556379136 has 960 divisors, whose sum is σ = 102953410560. Its totient is φ = 6967296000.

The previous prime is 27556379131. The next prime is 27556379153. The reversal of 27556379136 is 63197365572.

27556379136 is a `hidden beast` number, since 2 + 7 + 5 + 563 + 79 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×27556379136² (a number of 22 digits) contains 22 as substring.

Its product of digits (7144200) is a multiple of the sum of its prime divisors (150).

It is not an unprimeable number, because it can be changed into a prime (27556379131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388117981 + ... + 388118051.

It is an arithmetic number, because the mean of its divisors is an integer number (107243136).

Almost surely, 2^27556379136 is an apocalyptic number.

27556379136 is a gapful number since it is divisible by the number (26) 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 27556379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51476705280).

27556379136 is an abundant number, since it is smaller than the sum of its proper divisors (75397031424).

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

27556379136 is a wasteful number, since it uses less digits than its factorization.

27556379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 54.

The spelling of 27556379136 in words is "twenty-seven billion, five hundred fifty-six million, three hundred seventy-nine thousand, one hundred thirty-six".