1127983160880 has 360 divisors, whose sum is σ = 4054899358224. Its totient is φ = 280933785600.

The previous prime is 1127983160867. The next prime is 1127983160947. The reversal of 1127983160880 is 880613897211.

1127983160880 is a `hidden beast` number, since 1 + 1 + 27 + 9 + 8 + 3 + 1 + 608 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1127983160880² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27237790 + ... + 27279170.

Almost surely, 2^{1127983160880} is an apocalyptic number.

1127983160880 is a gapful number since it is divisible by the number (10) 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 1127983160880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027449679112).

1127983160880 is an abundant number, since it is smaller than the sum of its proper divisors (2926916197344).

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

1127983160880 is a wasteful number, since it uses less digits than its factorization.

1127983160880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41565 (or 41539 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1127983160880 in words is "one trillion, one hundred twenty-seven billion, nine hundred eighty-three million, one hundred sixty thousand, eight hundred eighty".