27960845982720 has 352 divisors, whose sum is σ = 102251604607488. Its totient is φ = 6388253786112.

The previous prime is 27960845982631. The next prime is 27960845982749. The reversal of 27960845982720 is 2728954806972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250788427 + ... + 250899893.

Almost surely, 2^{27960845982720} is an apocalyptic number.

27960845982720 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 27960845982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51125802303744).

27960845982720 is an abundant number, since it is smaller than the sum of its proper divisors (74290758624768).

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

27960845982720 is a wasteful number, since it uses less digits than its factorization.

27960845982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113835 (or 113817 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 69.

The spelling of 27960845982720 in words is "twenty-seven trillion, nine hundred sixty billion, eight hundred forty-five million, nine hundred eighty-two thousand, seven hundred twenty".