27072054306 has 96 divisors (see below), whose sum is σ = 68407113600. Its totient is φ = 7920712800.

The previous prime is 27072054199. The next prime is 27072054313. The reversal of 27072054306 is 60345027072.

It is a happy number.

It is a super-2 number, since 2×27072054306² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118051 + ... + 260921.

It is an arithmetic number, because the mean of its divisors is an integer number (712574100).

Almost surely, 2^27072054306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27072054306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34203556800).

27072054306 is an abundant number, since it is smaller than the sum of its proper divisors (41335059294).

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

27072054306 is a wasteful number, since it uses less digits than its factorization.

27072054306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142933 (or 142916 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 27072054306 in words is "twenty-seven billion, seventy-two million, fifty-four thousand, three hundred six".