27120040002 has 192 divisors, whose sum is σ = 69779162880. Its totient is φ = 7786437120.

The previous prime is 27120039971. The next prime is 27120040021. The reversal of 27120040002 is 20004002172.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16981068 + ... + 16982664.

It is an arithmetic number, because the mean of its divisors is an integer number (363433140).

Almost surely, 2^27120040002 is an apocalyptic number.

27120040002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27120040002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34889581440).

27120040002 is an abundant number, since it is smaller than the sum of its proper divisors (42659122878).

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

27120040002 is a wasteful number, since it uses less digits than its factorization.

27120040002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 27120040002 its reverse (20004002172), we get a palindrome (47124042174).

The spelling of 27120040002 in words is "twenty-seven billion, one hundred twenty million, forty thousand, two".