27121479840 has 576 divisors, whose sum is σ = 114806764800. Its totient is φ = 5677350912.

The previous prime is 27121479797. The next prime is 27121479851. The reversal of 27121479840 is 4897412172.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18213816 + ... + 18215304.

It is an arithmetic number, because the mean of its divisors is an integer number (199317300).

Almost surely, 2^27121479840 is an apocalyptic number.

27121479840 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 27121479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57403382400).

27121479840 is an abundant number, since it is smaller than the sum of its proper divisors (87685284960).

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

27121479840 is a wasteful number, since it uses less digits than its factorization.

27121479840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 27121479840 in words is "twenty-seven billion, one hundred twenty-one million, four hundred seventy-nine thousand, eight hundred forty".