27984542601600 has 1536 divisors, whose sum is σ = 117266994432000. Its totient is φ = 6456360960000.

The previous prime is 27984542601599. The next prime is 27984542601601. The reversal of 27984542601600 is 610624548972.

27984542601600 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 4 + 5 + 4 + 26 + 0 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (27984542601599) and next prime (27984542601601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27984542601601) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4792691481 + ... + 4792697319.

It is an arithmetic number, because the mean of its divisors is an integer number (76345699500).

Almost surely, 2^{27984542601600} is an apocalyptic number.

27984542601600 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 27984542601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58633497216000).

27984542601600 is an abundant number, since it is smaller than the sum of its proper divisors (89282451830400).

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

27984542601600 is a wasteful number, since it uses less digits than its factorization.

27984542601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 27984542601600 in words is "twenty-seven trillion, nine hundred eighty-four billion, five hundred forty-two million, six hundred one thousand, six hundred".