27616688661672 has 96 divisors (see below), whose sum is σ = 83800025880480. Its totient is φ = 8142512618880.

The previous prime is 27616688661649. The next prime is 27616688661739.

27616688661672 is a `hidden beast` number, since 276 + 1 + 66 + 88 + 66 + 167 + 2 = 666.

27616688661672 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 27616688661672.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471180918 + ... + 471239525.

It is an arithmetic number, because the mean of its divisors is an integer number (872916936255).

Almost surely, 2^{27616688661672} is an apocalyptic number.

27616688661672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27616688661672 is an abundant number, since it is smaller than the sum of its proper divisors (56183337218808).

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

27616688661672 is a wasteful number, since it uses less digits than its factorization.

27616688661672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942420503 (or 942420496 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 27616688661672 in words is "twenty-seven trillion, six hundred sixteen billion, six hundred eighty-eight million, six hundred sixty-one thousand, six hundred seventy-two".