27123420480 has 448 divisors, whose sum is σ = 94929838080. Its totient is φ = 6521389056.

The previous prime is 27123420479. The next prime is 27123420487. The reversal of 27123420480 is 8402432172.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27123420487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172760562 + ... + 172760718.

It is an arithmetic number, because the mean of its divisors is an integer number (211896960).

Almost surely, 2^27123420480 is an apocalyptic number.

27123420480 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 27123420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47464919040).

27123420480 is an abundant number, since it is smaller than the sum of its proper divisors (67806417600).

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

27123420480 is a wasteful number, since it uses less digits than its factorization.

27123420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 27123420480 in words is "twenty-seven billion, one hundred twenty-three million, four hundred twenty thousand, four hundred eighty".