27405921480 has 288 divisors, whose sum is σ = 100947565440. Its totient is φ = 5934055680.

The previous prime is 27405921467. The next prime is 27405921503. The reversal of 27405921480 is 8412950472.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116225 + ... + 2129135.

It is an arithmetic number, because the mean of its divisors is an integer number (350512380).

Almost surely, 2^27405921480 is an apocalyptic number.

27405921480 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 27405921480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50473782720).

27405921480 is an abundant number, since it is smaller than the sum of its proper divisors (73541643960).

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

27405921480 is a wasteful number, since it uses less digits than its factorization.

27405921480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12977 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 27405921480 in words is "twenty-seven billion, four hundred five million, nine hundred twenty-one thousand, four hundred eighty".