27079237270272 has 576 divisors, whose sum is σ = 87143649804288. Its totient is φ = 7368646656000.

The previous prime is 27079237270249. The next prime is 27079237270273. The reversal of 27079237270272 is 27207273297072.

It is a super-2 number, since 2×27079237270272² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27079237270273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316055983 + ... + 316141649.

It is an arithmetic number, because the mean of its divisors is an integer number (151291058688).

Almost surely, 2^{27079237270272} is an apocalyptic number.

27079237270272 is a gapful number since it is divisible by the number (22) 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 27079237270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43571824902144).

27079237270272 is an abundant number, since it is smaller than the sum of its proper divisors (60064412534016).

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

27079237270272 is a wasteful number, since it uses less digits than its factorization.

27079237270272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85816 (or 85802 counting only the distinct ones).

The product of its (nonzero) digits is 14521248, while the sum is 57.

The spelling of 27079237270272 in words is "twenty-seven trillion, seventy-nine billion, two hundred thirty-seven million, two hundred seventy thousand, two hundred seventy-two".