27792984080 has 80 divisors (see below), whose sum is σ = 66266294400. Its totient is φ = 10837263360.

The previous prime is 27792984077. The next prime is 27792984119. The reversal of 27792984080 is 8048929772.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×27792984080² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478031 + ... + 533009.

It is an arithmetic number, because the mean of its divisors is an integer number (828328680).

Almost surely, 2^27792984080 is an apocalyptic number.

27792984080 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 27792984080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33133147200).

27792984080 is an abundant number, since it is smaller than the sum of its proper divisors (38473310320).

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

27792984080 is a wasteful number, since it uses less digits than its factorization.

27792984080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55152 (or 55146 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 27792984080 in words is "twenty-seven billion, seven hundred ninety-two million, nine hundred eighty-four thousand, eighty".