27174050082816 has 832 divisors, whose sum is σ = 93226989649920. Its totient is φ = 6847113461760.

The previous prime is 27174050082691. The next prime is 27174050082859. The reversal of 27174050082816 is 61828005047172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

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 63 ways as a sum of consecutive naturals, for example, 2738486431 + ... + 2738496353.

Almost surely, 2^{27174050082816} is an apocalyptic number.

27174050082816 is a gapful number since it is divisible by the number (26) 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 27174050082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46613494824960).

27174050082816 is an abundant number, since it is smaller than the sum of its proper divisors (66052939567104).

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

27174050082816 is a wasteful number, since it uses less digits than its factorization.

27174050082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 27174050082816 in words is "twenty-seven trillion, one hundred seventy-four billion, fifty million, eighty-two thousand, eight hundred sixteen".