27128807387136 has 1664 divisors, whose sum is σ = 104682500249600. Its totient is φ = 6742112993280.

The previous prime is 27128807387093. The next prime is 27128807387153. The reversal of 27128807387136 is 63178370882172.

27128807387136 is a `hidden beast` number, since 27 + 1 + 28 + 80 + 7 + 387 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

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 127 ways as a sum of consecutive naturals, for example, 64438972206 + ... + 64438972626.

It is an arithmetic number, because the mean of its divisors is an integer number (62910156400).

Almost surely, 2^{27128807387136} is an apocalyptic number.

27128807387136 is a gapful number since it is divisible by the number (26) 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 27128807387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52341250124800).

27128807387136 is an abundant number, since it is smaller than the sum of its proper divisors (77553692862464).

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

27128807387136 is a wasteful number, since it uses less digits than its factorization.

27128807387136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 27128807387136 in words is "twenty-seven trillion, one hundred twenty-eight billion, eight hundred seven million, three hundred eighty-seven thousand, one hundred thirty-six".