27351667284480 has 3840 divisors, whose sum is σ = 127503485683200. Its totient is φ = 5493573550080.

The previous prime is 27351667284479. The next prime is 27351667284493. The reversal of 27351667284480 is 8448276615372.

27351667284480 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 1 + 6 + 6 + 72 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×27351667284480³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 242050152904 + ... + 242050153016.

It is an arithmetic number, because the mean of its divisors is an integer number (33204032730).

Almost surely, 2^{27351667284480} is an apocalyptic number.

27351667284480 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 27351667284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63751742841600).

27351667284480 is an abundant number, since it is smaller than the sum of its proper divisors (100151818398720).

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

27351667284480 is a wasteful number, since it uses less digits than its factorization.

27351667284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 27351667284480 in words is "twenty-seven trillion, three hundred fifty-one billion, six hundred sixty-seven million, two hundred eighty-four thousand, four hundred eighty".