27355019328 has 784 divisors, whose sum is σ = 106340330880. Its totient is φ = 6772211712.

The previous prime is 27355019303. The next prime is 27355019369. The reversal of 27355019328 is 82391055372.

27355019328 is a `hidden beast` number, since 2 + 7 + 3 + 550 + 1 + 93 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 72176643 + ... + 72177021.

Almost surely, 2^27355019328 is an apocalyptic number.

27355019328 is a gapful number since it is divisible by the number (28) 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 27355019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53170165440).

27355019328 is an abundant number, since it is smaller than the sum of its proper divisors (78985311552).

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

27355019328 is a wasteful number, since it uses less digits than its factorization.

27355019328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 27355019328 in words is "twenty-seven billion, three hundred fifty-five million, nineteen thousand, three hundred twenty-eight".