27432153216 has 96 divisors (see below), whose sum is σ = 85011146220. Its totient is φ = 8440657920.

The previous prime is 27432153209. The next prime is 27432153223. The reversal of 27432153216 is 61235123472.

27432153216 is a `hidden beast` number, since 2 + 7 + 4 + 321 + 5 + 321 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (27432153209) and next prime (27432153223).

It can be written as a sum of positive squares in 2 ways, for example, as 26861898816 + 570254400 = 163896^2 + 23880^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 900895 + ... + 930846.

Almost surely, 2^27432153216 is an apocalyptic number.

27432153216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

27432153216 is an abundant number, since it is smaller than the sum of its proper divisors (57578993004).

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

27432153216 is a wasteful number, since it uses less digits than its factorization.

27432153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831774 (or 1831759 counting only the distinct ones).

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

Adding to 27432153216 its reverse (61235123472), we get a palindrome (88667276688).

The spelling of 27432153216 in words is "twenty-seven billion, four hundred thirty-two million, one hundred fifty-three thousand, two hundred sixteen".