27026121180960 has 288 divisors, whose sum is σ = 100974110956992. Its totient is φ = 6528133232640.

The previous prime is 27026121180959. The next prime is 27026121181021. The reversal of 27026121180960 is 6908112162072.

27026121180960 is a `hidden beast` number, since 27 + 0 + 2 + 612 + 1 + 1 + 8 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×27026121180960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1307907 + ... + 7467453.

It is an arithmetic number, because the mean of its divisors is an integer number (350604551934).

Almost surely, 2^{27026121180960} is an apocalyptic number.

27026121180960 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 27026121180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50487055478496).

27026121180960 is an abundant number, since it is smaller than the sum of its proper divisors (73947989776032).

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

27026121180960 is a wasteful number, since it uses less digits than its factorization.

27026121180960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6159856 (or 6159845 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 27026121180960 in words is "twenty-seven trillion, twenty-six billion, one hundred twenty-one million, one hundred eighty thousand, nine hundred sixty".