27102426120 has 1024 divisors, whose sum is σ = 125660160000. Its totient is φ = 5016453120.

The previous prime is 27102426107. The next prime is 27102426121. The reversal of 27102426120 is 2162420172.

27102426120 is a `hidden beast` number, since 2 + 7 + 1 + 0 + 2 + 42 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27102426121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26860176 + ... + 26861184.

It is an arithmetic number, because the mean of its divisors is an integer number (122715000).

Almost surely, 2^27102426120 is an apocalyptic number.

27102426120 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 27102426120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62830080000).

27102426120 is an abundant number, since it is smaller than the sum of its proper divisors (98557733880).

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

27102426120 is a wasteful number, since it uses less digits than its factorization.

27102426120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 27102426120 its reverse (2162420172), we get a palindrome (29264846292).

The spelling of 27102426120 in words is "twenty-seven billion, one hundred two million, four hundred twenty-six thousand, one hundred twenty".