27382268066016 has 48 divisors (see below), whose sum is σ = 72354469961088. Its totient is φ = 9066976176000.

The previous prime is 27382268065967. The next prime is 27382268066057. The reversal of 27382268066016 is 61066086228372.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×27382268066016² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 944462190 + ... + 944491181.

It is an arithmetic number, because the mean of its divisors is an integer number (1507384790856).

Almost surely, 2^{27382268066016} is an apocalyptic number.

It is an amenable number.

27382268066016 is an abundant number, since it is smaller than the sum of its proper divisors (44972201895072).

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

27382268066016 is a wasteful number, since it uses less digits than its factorization.

27382268066016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888953535 (or 1888953527 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 27382268066016 in words is "twenty-seven trillion, three hundred eighty-two billion, two hundred sixty-eight million, sixty-six thousand, sixteen".