27871119400000 has 336 divisors, whose sum is σ = 73894506698880. Its totient is φ = 10403571200000.

The previous prime is 27871119399979. The next prime is 27871119400001. The reversal of 27871119400000 is 491117872.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (27871119400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188526111 + ... + 188673889.

It is an arithmetic number, because the mean of its divisors is an integer number (219924127080).

Almost surely, 2^{27871119400000} is an apocalyptic number.

27871119400000 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 27871119400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36947253349440).

27871119400000 is an abundant number, since it is smaller than the sum of its proper divisors (46023387298880).

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

27871119400000 is an equidigital number, since it uses as much as digits as its factorization.

27871119400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147880 (or 147850 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

The spelling of 27871119400000 in words is "twenty-seven trillion, eight hundred seventy-one billion, one hundred nineteen million, four hundred thousand".