27280872960 has 480 divisors, whose sum is σ = 99059659776. Its totient is φ = 6393446400.

The previous prime is 27280872901. The next prime is 27280872977. The reversal of 27280872960 is 6927808272.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28807207 + ... + 28808153.

Almost surely, 2^27280872960 is an apocalyptic number.

27280872960 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 27280872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49529829888).

27280872960 is an abundant number, since it is smaller than the sum of its proper divisors (71778786816).

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

27280872960 is a wasteful number, since it uses less digits than its factorization.

27280872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 27280872960 in words is "twenty-seven billion, two hundred eighty million, eight hundred seventy-two thousand, nine hundred sixty".