27162661680 has 480 divisors, whose sum is σ = 114925644288. Its totient is φ = 5584896000.

The previous prime is 27162661639. The next prime is 27162661697. The reversal of 27162661680 is 8616626172.

27162661680 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 26 + 616 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5375155 + ... + 5380205.

Almost surely, 2^27162661680 is an apocalyptic number.

27162661680 is a gapful number since it is divisible by the number (20) 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 27162661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57462822144).

27162661680 is an abundant number, since it is smaller than the sum of its proper divisors (87762982608).

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

27162661680 is a wasteful number, since it uses less digits than its factorization.

27162661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 2716266 and 1680, that added together give a triangular number (2717946 = T₂₃₃₁).

The spelling of 27162661680 in words is "twenty-seven billion, one hundred sixty-two million, six hundred sixty-one thousand, six hundred eighty".