27854399124000 has 768 divisors, whose sum is σ = 105364965888000. Its totient is φ = 7139860992000.

The previous prime is 27854399123987. The next prime is 27854399124029. The reversal of 27854399124000 is 42199345872.

27854399124000 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 4 + 399 + 1 + 240 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 498824082 + ... + 498879918.

It is an arithmetic number, because the mean of its divisors is an integer number (137193966000).

Almost surely, 2^{27854399124000} is an apocalyptic number.

27854399124000 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 27854399124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52682482944000).

27854399124000 is an abundant number, since it is smaller than the sum of its proper divisors (77510566764000).

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

27854399124000 is a wasteful number, since it uses less digits than its factorization.

27854399124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56051 (or 56027 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 27854399124000 in words is "twenty-seven trillion, eight hundred fifty-four billion, three hundred ninety-nine million, one hundred twenty-four thousand".