27276415320960 has 3072 divisors, whose sum is σ = 116154175737600. Its totient is φ = 6054142279680.

The previous prime is 27276415320887. The next prime is 27276415321007. The reversal of 27276415320960 is 6902351467272.

27276415320960 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 6 + 41 + 532 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27276415320897 and 27276415320906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113180146440 + ... + 113180146680.

Almost surely, 2^{27276415320960} is an apocalyptic number.

27276415320960 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 27276415320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58077087868800).

27276415320960 is an abundant number, since it is smaller than the sum of its proper divisors (88877760416640).

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

27276415320960 is a wasteful number, since it uses less digits than its factorization.

27276415320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 27276415320960 in words is "twenty-seven trillion, two hundred seventy-six billion, four hundred fifteen million, three hundred twenty thousand, nine hundred sixty".