27919136464128 has 972 divisors, whose sum is σ = 103452109252128. Its totient is φ = 7362764697600.

The previous prime is 27919136464117. The next prime is 27919136464169. The reversal of 27919136464128 is 82146463191972.

27919136464128 is a `hidden beast` number, since 2 + 7 + 9 + 1 + 91 + 364 + 64 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1986978703 + ... + 1986992753.

Almost surely, 2^{27919136464128} is an apocalyptic number.

27919136464128 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 27919136464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51726054626064).

27919136464128 is an abundant number, since it is smaller than the sum of its proper divisors (75532972788000).

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

27919136464128 is an frugal number, since it uses more digits than its factorization.

27919136464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14124 (or 14076 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 27919136464128 in words is "twenty-seven trillion, nine hundred nineteen billion, one hundred thirty-six million, four hundred sixty-four thousand, one hundred twenty-eight".