27112794551040 has 1152 divisors, whose sum is σ = 98904280301568. Its totient is φ = 6322821120000.

The previous prime is 27112794551023. The next prime is 27112794551083. The reversal of 27112794551040 is 4015549721172.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 33431312235 + ... + 33431313045.

It is an arithmetic number, because the mean of its divisors is an integer number (85854409984).

Almost surely, 2^{27112794551040} is an apocalyptic number.

27112794551040 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 27112794551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49452140150784).

27112794551040 is an abundant number, since it is smaller than the sum of its proper divisors (71791485750528).

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

27112794551040 is a wasteful number, since it uses less digits than its factorization.

27112794551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 27112794551040 in words is "twenty-seven trillion, one hundred twelve billion, seven hundred ninety-four million, five hundred fifty-one thousand, forty".