27123128398080 has 1152 divisors, whose sum is σ = 113490204387840. Its totient is φ = 6047294423040.

The previous prime is 27123128398057. The next prime is 27123128398097. The reversal of 27123128398080 is 8089382132172.

27123128398080 is a `hidden beast` number, since 2 + 7 + 123 + 128 + 398 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 1368946254 + ... + 1368966066.

It is an arithmetic number, because the mean of its divisors is an integer number (98515802420).

Almost surely, 2^{27123128398080} is an apocalyptic number.

27123128398080 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 27123128398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56745102193920).

27123128398080 is an abundant number, since it is smaller than the sum of its proper divisors (86367075989760).

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

27123128398080 is a wasteful number, since it uses less digits than its factorization.

27123128398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20144 (or 20124 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 27123128398080 in words is "twenty-seven trillion, one hundred twenty-three billion, one hundred twenty-eight million, three hundred ninety-eight thousand, eighty".