27979245776160 has 1152 divisors, whose sum is σ = 119196499968000. Its totient is φ = 6188866145280.

The previous prime is 27979245776149. The next prime is 27979245776173. The reversal of 27979245776160 is 6167754297972.

27979245776160 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 9 + 2 + 457 + 7 + 6 + 160 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 413377201 + ... + 413444879.

It is an arithmetic number, because the mean of its divisors is an integer number (103469184000).

Almost surely, 2^{27979245776160} is an apocalyptic number.

27979245776160 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 27979245776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59598249984000).

27979245776160 is an abundant number, since it is smaller than the sum of its proper divisors (91217254191840).

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

27979245776160 is an equidigital number, since it uses as much as digits as its factorization.

27979245776160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67761 (or 67727 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 27979245776160 in words is "twenty-seven trillion, nine hundred seventy-nine billion, two hundred forty-five million, seven hundred seventy-six thousand, one hundred sixty".