1180093821480 has 576 divisors, whose sum is σ = 4572541733760. Its totient is φ = 258425137152.

The previous prime is 1180093821479. The next prime is 1180093821493. The reversal of 1180093821480 is 841283900811.

1180093821480 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 0 + 93 + 82 + 1 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 304381302 + ... + 304385178.

It is an arithmetic number, because the mean of its divisors is an integer number (7938440510).

Almost surely, 2^{1180093821480} is an apocalyptic number.

1180093821480 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 1180093821480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286270866880).

1180093821480 is an abundant number, since it is smaller than the sum of its proper divisors (3392447912280).

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

1180093821480 is a wasteful number, since it uses less digits than its factorization.

1180093821480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1180093821480 in words is "one trillion, one hundred eighty billion, ninety-three million, eight hundred twenty-one thousand, four hundred eighty".