1152083684160 has 672 divisors, whose sum is σ = 4365989776512. Its totient is φ = 288167362560.

The previous prime is 1152083684123. The next prime is 1152083684237. The reversal of 1152083684160 is 614863802511.

1152083684160 is a `hidden beast` number, since 1 + 1 + 520 + 8 + 3 + 68 + 4 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437554204 + ... + 437556836.

It is an arithmetic number, because the mean of its divisors is an integer number (6497008596).

Almost surely, 2^{1152083684160} is an apocalyptic number.

1152083684160 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 1152083684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182994888256).

1152083684160 is an abundant number, since it is smaller than the sum of its proper divisors (3213906092352).

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

1152083684160 is a wasteful number, since it uses less digits than its factorization.

1152083684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1152083684160 in words is "one trillion, one hundred fifty-two billion, eighty-three million, six hundred eighty-four thousand, one hundred sixty".