27755972160 has 224 divisors, whose sum is σ = 106015779840. Its totient is φ = 6010288128.

The previous prime is 27755972137. The next prime is 27755972197. The reversal of 27755972160 is 6127955772.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18987 + ... + 236373.

Almost surely, 2^27755972160 is an apocalyptic number.

27755972160 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 27755972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53007889920).

27755972160 is an abundant number, since it is smaller than the sum of its proper divisors (78259807680).

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

27755972160 is a wasteful number, since it uses less digits than its factorization.

27755972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217433 (or 217423 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 27755972160 in words is "twenty-seven billion, seven hundred fifty-five million, nine hundred seventy-two thousand, one hundred sixty".