27043898112000 has 6144 divisors, whose sum is σ = 136881239040000. Its totient is φ = 5202247680000.

The previous prime is 27043898111999. The next prime is 27043898112001. The reversal of 27043898112000 is 21189834072.

It is a happy number.

27043898112000 is a `hidden beast` number, since 2 + 7 + 0 + 438 + 9 + 8 + 1 + 1 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27043898111999) and next prime (27043898112001).

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27043898112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 443342591970 + ... + 443342592030.

It is an arithmetic number, because the mean of its divisors is an integer number (22278847500).

Almost surely, 2^{27043898112000} is an apocalyptic number.

27043898112000 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 27043898112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68440619520000).

27043898112000 is an abundant number, since it is smaller than the sum of its proper divisors (109837340928000).

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

27043898112000 is a wasteful number, since it uses less digits than its factorization.

27043898112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 27043898112000 in words is "twenty-seven trillion, forty-three billion, eight hundred ninety-eight million, one hundred twelve thousand".