1160678484000 has 1440 divisors, whose sum is σ = 5128515952560. Its totient is φ = 256048128000.

The previous prime is 1160678483957. The next prime is 1160678484001. The reversal of 1160678484000 is 4848760611.

1160678484000 is a `hidden beast` number, since 1 + 160 + 6 + 7 + 8 + 484 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39934426896 + 1120744057104 = 199836^2 + 1058652^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1160678484001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 460402740 + ... + 460405260.

Almost surely, 2^{1160678484000} is an apocalyptic number.

1160678484000 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 1160678484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564257976280).

1160678484000 is an abundant number, since it is smaller than the sum of its proper divisors (3967837468560).

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

1160678484000 is a wasteful number, since it uses less digits than its factorization.

1160678484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1160678484000 in words is "one trillion, one hundred sixty billion, six hundred seventy-eight million, four hundred eighty-four thousand".