27960966120 has 128 divisors (see below), whose sum is σ = 86386176000. Its totient is φ = 7236952320.

The previous prime is 27960966113. The next prime is 27960966139. The reversal of 27960966120 is 2166906972.

It is a super-3 number, since 3×27960966120³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27960966120.

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, 534325 + ... + 584315.

It is an arithmetic number, because the mean of its divisors is an integer number (674892000).

Almost surely, 2^27960966120 is an apocalyptic number.

27960966120 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 27960966120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43193088000).

27960966120 is an abundant number, since it is smaller than the sum of its proper divisors (58425209880).

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

27960966120 is a wasteful number, since it uses less digits than its factorization.

27960966120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50143 (or 50139 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 27960966120 in words is "twenty-seven billion, nine hundred sixty million, nine hundred sixty-six thousand, one hundred twenty".