27891895116960 has 2880 divisors, whose sum is σ = 124411200528384. Its totient is φ = 5757051801600.

The previous prime is 27891895116959. The next prime is 27891895116983. The reversal of 27891895116960 is 6961159819872.

27891895116960 is a `hidden beast` number, since 2 + 7 + 8 + 9 + 18 + 9 + 511 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 84265543995 + ... + 84265544325.

Almost surely, 2^{27891895116960} is an apocalyptic number.

27891895116960 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 27891895116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62205600264192).

27891895116960 is an abundant number, since it is smaller than the sum of its proper divisors (96519305411424).

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

27891895116960 is a wasteful number, since it uses less digits than its factorization.

27891895116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 72.

The spelling of 27891895116960 in words is "twenty-seven trillion, eight hundred ninety-one billion, eight hundred ninety-five million, one hundred sixteen thousand, nine hundred sixty".