27057046016 has 480 divisors, whose sum is σ = 75913998336. Its totient is φ = 9345024000.

The previous prime is 27057045971. The next prime is 27057046021. The reversal of 27057046016 is 61064075072.

It is a super-2 number, since 2×27057046016² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206542271 + ... + 206542401.

Almost surely, 2^27057046016 is an apocalyptic number.

27057046016 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 27057046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37956999168).

27057046016 is an abundant number, since it is smaller than the sum of its proper divisors (48856952320).

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

27057046016 is a wasteful number, since it uses less digits than its factorization.

27057046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 27057046016 in words is "twenty-seven billion, fifty-seven million, forty-six thousand, sixteen".