27632411275716 has 243 divisors, whose sum is σ = 79847678120301. Its totient is φ = 8052521076288.

The previous prime is 27632411275709. The next prime is 27632411275747. The reversal of 27632411275716 is 61757211423672.

The square root of 27632411275716 is 5256654.

It is a perfect power (a square), and thus also a powerful number.

27632411275716 is a `hidden beast` number, since 2 + 7 + 6 + 3 + 2 + 41 + 1 + 27 + 571 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4087634804100 + 23544776471616 = 2021790^2 + 4852296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7790359455 + ... + 7790363001.

Almost surely, 2^{27632411275716} is an apocalyptic number.

27632411275716 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

27632411275716 is the 5256654-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27632411275716

27632411275716 is an abundant number, since it is smaller than the sum of its proper divisors (52215266844585).

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

27632411275716 is a wasteful number, since it uses less digits than its factorization.

27632411275716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 3584 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 27632411275716 in words is "twenty-seven trillion, six hundred thirty-two billion, four hundred eleven million, two hundred seventy-five thousand, seven hundred sixteen".