27086555119104 has 640 divisors, whose sum is σ = 91491800400000. Its totient is φ = 7838322130944.

The previous prime is 27086555119069. The next prime is 27086555119171. The reversal of 27086555119104 is 40191155568072.

27086555119104 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 65 + 551 + 19 + 10 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5954395422 + ... + 5954399970.

It is an arithmetic number, because the mean of its divisors is an integer number (142955938125).

Almost surely, 2^{27086555119104} is an apocalyptic number.

27086555119104 is a gapful number since it is divisible by the number (24) 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 27086555119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45745900200000).

27086555119104 is an abundant number, since it is smaller than the sum of its proper divisors (64405245280896).

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

27086555119104 is a wasteful number, since it uses less digits than its factorization.

27086555119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 27086555119104 in words is "twenty-seven trillion, eighty-six billion, five hundred fifty-five million, one hundred nineteen thousand, one hundred four".