1160786764800 has 1980 divisors, whose sum is σ = 4950198075900. Its totient is φ = 267119493120.

The previous prime is 1160786764799. The next prime is 1160786764831. The reversal of 1160786764800 is 84676870611.

1160786764800 is a `hidden beast` number, since 1 + 16 + 0 + 7 + 86 + 76 + 480 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 868564353024 + 292222411776 = 931968^2 + 540576^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7790515126 + ... + 7790515274.

Almost surely, 2^{1160786764800} is an apocalyptic number.

1160786764800 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 1160786764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475099037950).

1160786764800 is an abundant number, since it is smaller than the sum of its proper divisors (3789411311100).

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

1160786764800 is a wasteful number, since it uses less digits than its factorization.

1160786764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1160786764800 in words is "one trillion, one hundred sixty billion, seven hundred eighty-six million, seven hundred sixty-four thousand, eight hundred".