27139289760 has 1152 divisors, whose sum is σ = 114124308480. Its totient is φ = 6021734400.

The previous prime is 27139289741. The next prime is 27139289761. The reversal of 27139289760 is 6798293172.

27139289760 is a `hidden beast` number, since 271 + 39 + 289 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27139289697 and 27139289706.

It is not an unprimeable number, because it can be changed into a prime (27139289761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304935796 + ... + 304935884.

It is an arithmetic number, because the mean of its divisors is an integer number (99066240).

Almost surely, 2^27139289760 is an apocalyptic number.

27139289760 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 27139289760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062154240).

27139289760 is an abundant number, since it is smaller than the sum of its proper divisors (86985018720).

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

27139289760 is a wasteful number, since it uses less digits than its factorization.

27139289760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 27139289760 in words is "twenty-seven billion, one hundred thirty-nine million, two hundred eighty-nine thousand, seven hundred sixty".