27161206420 has 144 divisors (see below), whose sum is σ = 62403264000. Its totient is φ = 9901896192.

The previous prime is 27161206417. The next prime is 27161206427. The reversal of 27161206420 is 2460216172.

It is a super-2 number, since 2×27161206420² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27161206427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 56703741 + ... + 56704219.

It is an arithmetic number, because the mean of its divisors is an integer number (433356000).

Almost surely, 2^27161206420 is an apocalyptic number.

27161206420 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 27161206420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31201632000).

27161206420 is an abundant number, since it is smaller than the sum of its proper divisors (35242057580).

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

27161206420 is a wasteful number, since it uses less digits than its factorization.

27161206420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 27161206420 in words is "twenty-seven billion, one hundred sixty-one million, two hundred six thousand, four hundred twenty".