1183795845120 has 2304 divisors, whose sum is σ = 5294540160000. Its totient is φ = 252829237248.

The previous prime is 1183795845091. The next prime is 1183795845131. The reversal of 1183795845120 is 215485973811.

1183795845120 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 7 + 9 + 584 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16216381404 + ... + 16216381476.

It is an arithmetic number, because the mean of its divisors is an integer number (2297977500).

Almost surely, 2^{1183795845120} is an apocalyptic number.

1183795845120 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 1183795845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647270080000).

1183795845120 is an abundant number, since it is smaller than the sum of its proper divisors (4110744314880).

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

1183795845120 is an frugal number, since it uses more digits than its factorization.

1183795845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1183795845120 in words is "one trillion, one hundred eighty-three billion, seven hundred ninety-five million, eight hundred forty-five thousand, one hundred twenty".