27755125288000 has 112 divisors (see below), whose sum is σ = 74984255993088. Its totient is φ = 10092772800000.

The previous prime is 27755125287941. The next prime is 27755125288021. The reversal of 27755125288000 is 88252155772.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157611576 + ... + 157787575.

Almost surely, 2^{27755125288000} is an apocalyptic number.

27755125288000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27755125288000 is an abundant number, since it is smaller than the sum of its proper divisors (47229130705088).

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

27755125288000 is a wasteful number, since it uses less digits than its factorization.

27755125288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315399189 (or 315399169 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 52.

The spelling of 27755125288000 in words is "twenty-seven trillion, seven hundred fifty-five billion, one hundred twenty-five million, two hundred eighty-eight thousand".