27756547128000 has 896 divisors, whose sum is σ = 107566492999680. Its totient is φ = 6996326400000.

The previous prime is 27756547127993. The next prime is 27756547128029. The reversal of 27756547128000 is 82174565772.

27756547128000 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 6 + 547 + 12 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 287879800 + ... + 287976200.

Almost surely, 2^{27756547128000} is an apocalyptic number.

27756547128000 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 27756547128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53783246499840).

27756547128000 is an abundant number, since it is smaller than the sum of its proper divisors (79809945871680).

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

27756547128000 is a wasteful number, since it uses less digits than its factorization.

27756547128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96511 (or 96485 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 27756547128000 in words is "twenty-seven trillion, seven hundred fifty-six billion, five hundred forty-seven million, one hundred twenty-eight thousand".