1178959380480 has 1600 divisors, whose sum is σ = 5064150803580. Its totient is φ = 262193283072.

The previous prime is 1178959380407. The next prime is 1178959380527. The reversal of 1178959380480 is 840839598711.

1178959380480 is a `hidden beast` number, since 1 + 1 + 78 + 9 + 5 + 9 + 3 + 80 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1150281990144 + 28677390336 = 1072512^2 + 169344^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 31863767022 + ... + 31863767058.

Almost surely, 2^{1178959380480} is an apocalyptic number.

1178959380480 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 1178959380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532075401790).

1178959380480 is an abundant number, since it is smaller than the sum of its proper divisors (3885191423100).

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

1178959380480 is an frugal number, since it uses more digits than its factorization.

1178959380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 1178959380480 in words is "one trillion, one hundred seventy-eight billion, nine hundred fifty-nine million, three hundred eighty thousand, four hundred eighty".