27153211680 has 576 divisors, whose sum is σ = 108265248000. Its totient is φ = 6069657600.

The previous prime is 27153211661. The next prime is 27153211703. The reversal of 27153211680 is 8611235172.

27153211680 is a `hidden beast` number, since 2 + 7 + 1 + 532 + 116 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 151693831 + ... + 151694009.

It is an arithmetic number, because the mean of its divisors is an integer number (187960500).

Almost surely, 2^27153211680 is an apocalyptic number.

27153211680 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 27153211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54132624000).

27153211680 is an abundant number, since it is smaller than the sum of its proper divisors (81112036320).

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

27153211680 is a wasteful number, since it uses less digits than its factorization.

27153211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 27153211680 in words is "twenty-seven billion, one hundred fifty-three million, two hundred eleven thousand, six hundred eighty".