27516073663680 has 448 divisors, whose sum is σ = 101673086976000. Its totient is φ = 6175062945792.

The previous prime is 27516073663643. The next prime is 27516073663699. The reversal of 27516073663680 is 8636637061572.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×27516073663680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94882741 + ... + 95172299.

Almost surely, 2^{27516073663680} is an apocalyptic number.

27516073663680 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 27516073663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50836543488000).

27516073663680 is an abundant number, since it is smaller than the sum of its proper divisors (74157013312320).

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

27516073663680 is a wasteful number, since it uses less digits than its factorization.

27516073663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289844 (or 289834 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 27516073663680 in words is "twenty-seven trillion, five hundred sixteen billion, seventy-three million, six hundred sixty-three thousand, six hundred eighty".