27957908160 has 896 divisors, whose sum is σ = 123168460800. Its totient is φ = 5885374464.

The previous prime is 27957908119. The next prime is 27957908183. The reversal of 27957908160 is 6180975972.

27957908160 is a `hidden beast` number, since 2 + 7 + 9 + 579 + 0 + 8 + 1 + 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 = 27957908097 and 27957908106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63685221 + ... + 63685659.

It is an arithmetic number, because the mean of its divisors is an integer number (137464800).

Almost surely, 2^27957908160 is an apocalyptic number.

27957908160 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 27957908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61584230400).

27957908160 is an abundant number, since it is smaller than the sum of its proper divisors (95210552640).

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

27957908160 is an equidigital number, since it uses as much as digits as its factorization.

27957908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 27957908160 in words is "twenty-seven billion, nine hundred fifty-seven million, nine hundred eight thousand, one hundred sixty".