27991554933888 has 384 divisors, whose sum is σ = 99398472700800. Its totient is φ = 7362899066880.

The previous prime is 27991554933739. The next prime is 27991554933889. The reversal of 27991554933888 is 88833945519972.

27991554933888 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 15 + 5 + 493 + 38 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (27991554933889) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 39379068 + ... + 40083588.

It is an arithmetic number, because the mean of its divisors is an integer number (258850189325).

Almost surely, 2^{27991554933888} is an apocalyptic number.

27991554933888 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 27991554933888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49699236350400).

27991554933888 is an abundant number, since it is smaller than the sum of its proper divisors (71406917766912).

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

27991554933888 is a wasteful number, since it uses less digits than its factorization.

27991554933888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704940 (or 704925 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 81.

The spelling of 27991554933888 in words is "twenty-seven trillion, nine hundred ninety-one billion, five hundred fifty-four million, nine hundred thirty-three thousand, eight hundred eighty-eight".