27085197216 has 192 divisors, whose sum is σ = 88770318336. Its totient is φ = 7024972800.

The previous prime is 27085197197. The next prime is 27085197239. The reversal of 27085197216 is 61279158072.

It is a super-2 number, since 2×27085197216² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6066601 + ... + 6071063.

It is an arithmetic number, because the mean of its divisors is an integer number (462345408).

Almost surely, 2^27085197216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27085197216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44385159168).

27085197216 is an abundant number, since it is smaller than the sum of its proper divisors (61685121120).

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

27085197216 is a wasteful number, since it uses less digits than its factorization.

27085197216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 27085197216 in words is "twenty-seven billion, eighty-five million, one hundred ninety-seven thousand, two hundred sixteen".