1180264873680 has 800 divisors, whose sum is σ = 4317676713504. Its totient is φ = 298482941952.

The previous prime is 1180264873651. The next prime is 1180264873691. The reversal of 1180264873680 is 863784620811.

1180264873680 is a `hidden beast` number, since 1 + 1 + 80 + 2 + 6 + 487 + 3 + 6 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 16740219456 + 1163524654224 = 129384^2 + 1078668^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3723232882 + ... + 3723233198.

Almost surely, 2^{1180264873680} is an apocalyptic number.

1180264873680 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 1180264873680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158838356752).

1180264873680 is an abundant number, since it is smaller than the sum of its proper divisors (3137411839824).

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

1180264873680 is a wasteful number, since it uses less digits than its factorization.

1180264873680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1180264873680 in words is "one trillion, one hundred eighty billion, two hundred sixty-four million, eight hundred seventy-three thousand, six hundred eighty".