1181775961080 has 1152 divisors, whose sum is σ = 4844550110400. Its totient is φ = 257182801920.

The previous prime is 1181775961063. The next prime is 1181775961081. The reversal of 1181775961080 is 801695771811.

1181775961080 is a `hidden beast` number, since 1 + 1 + 8 + 17 + 7 + 5 + 9 + 610 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1181775961081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 565712676 + ... + 565714764.

Almost surely, 2^{1181775961080} is an apocalyptic number.

1181775961080 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 1181775961080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422275055200).

1181775961080 is an abundant number, since it is smaller than the sum of its proper divisors (3662774149320).

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

1181775961080 is a wasteful number, since it uses less digits than its factorization.

1181775961080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 54.

The spelling of 1181775961080 in words is "one trillion, one hundred eighty-one billion, seven hundred seventy-five million, nine hundred sixty-one thousand, eighty".