1178591212800 has 756 divisors, whose sum is σ = 4404389502940. Its totient is φ = 312095047680.

The previous prime is 1178591212793. The next prime is 1178591212823. The reversal of 1178591212800 is 82121958711.

1178591212800 is a `hidden beast` number, since 1 + 17 + 8 + 591 + 21 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5650228224 + 1172940984576 = 75168^2 + 1083024^2 .

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 732498396 + ... + 732500004.

Almost surely, 2^{1178591212800} is an apocalyptic number.

1178591212800 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 1178591212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202194751470).

1178591212800 is an abundant number, since it is smaller than the sum of its proper divisors (3225798290140).

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

1178591212800 is an equidigital number, since it uses as much as digits as its factorization.

1178591212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 1178591212800 in words is "one trillion, one hundred seventy-eight billion, five hundred ninety-one million, two hundred twelve thousand, eight hundred".