27661430052 has 18 divisors (see below), whose sum is σ = 69921948278. Its totient is φ = 9220476672.

The previous prime is 27661430047. The next prime is 27661430057. The reversal of 27661430052 is 25003416672.

27661430052 is a `hidden beast` number, since 2 + 7 + 6 + 614 + 30 + 0 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (27661430047) and next prime (27661430057).

It can be written as a sum of positive squares in only one way, i.e., 26548140096 + 1113289956 = 162936^2 + 33366^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 768373057 = 27661430052 / (2 + 7 + 6 + 6 + 1 + 4 + 3 + 0 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 27661429989 and 27661430016.

It is not an unprimeable number, because it can be changed into a prime (27661430057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 384186493 + ... + 384186564.

Almost surely, 2^27661430052 is an apocalyptic number.

It is an amenable number.

27661430052 is an abundant number, since it is smaller than the sum of its proper divisors (42260518226).

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

27661430052 is a wasteful number, since it uses less digits than its factorization.

27661430052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768373067 (or 768373062 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 27661430052 in words is "twenty-seven billion, six hundred sixty-one million, four hundred thirty thousand, fifty-two".