1180085954400 has 576 divisors, whose sum is σ = 4385591804160. Its totient is φ = 309961935360.

The previous prime is 1180085954323. The next prime is 1180085954419. The reversal of 1180085954400 is 44595800811.

It is a happy number.

1180085954400 is a `hidden beast` number, since 1 + 1 + 80 + 0 + 85 + 95 + 4 + 400 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117218167 + ... + 117228233.

It is an arithmetic number, because the mean of its divisors is an integer number (7613874660).

Almost surely, 2^{1180085954400} is an apocalyptic number.

1180085954400 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 1180085954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192795902080).

1180085954400 is an abundant number, since it is smaller than the sum of its proper divisors (3205505849760).

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

1180085954400 is an equidigital number, since it uses as much as digits as its factorization.

1180085954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 1180085954400 in words is "one trillion, one hundred eighty billion, eighty-five million, nine hundred fifty-four thousand, four hundred".