27851516796480 has 1792 divisors, whose sum is σ = 104937275520000. Its totient is φ = 6197172240384.

The previous prime is 27851516796469. The next prime is 27851516796491. The reversal of 27851516796480 is 8469761515872.

It is an interprime number because it is at equal distance from previous prime (27851516796469) and next prime (27851516796491).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 186922931446 + ... + 186922931594.

It is an arithmetic number, because the mean of its divisors is an integer number (58558747500).

Almost surely, 2^{27851516796480} is an apocalyptic number.

27851516796480 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 27851516796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52468637760000).

27851516796480 is an abundant number, since it is smaller than the sum of its proper divisors (77085758723520).

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

27851516796480 is a wasteful number, since it uses less digits than its factorization.

27851516796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 69.

The spelling of 27851516796480 in words is "twenty-seven trillion, eight hundred fifty-one billion, five hundred sixteen million, seven hundred ninety-six thousand, four hundred eighty".