27280928213280 has 480 divisors, whose sum is σ = 110057313510144. Its totient is φ = 6234267285504.

The previous prime is 27280928213239. The next prime is 27280928213281. The reversal of 27280928213280 is 8231282908272.

27280928213280 is a `hidden beast` number, since 2 + 7 + 2 + 80 + 9 + 282 + 1 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27280928213281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 444769494 + ... + 444830826.

Almost surely, 2^{27280928213280} is an apocalyptic number.

27280928213280 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 27280928213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55028656755072).

27280928213280 is an abundant number, since it is smaller than the sum of its proper divisors (82776385296864).

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

27280928213280 is a wasteful number, since it uses less digits than its factorization.

27280928213280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66270 (or 66253 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 27280928213280 in words is "twenty-seven trillion, two hundred eighty billion, nine hundred twenty-eight million, two hundred thirteen thousand, two hundred eighty".