1181959905600 has 420 divisors, whose sum is σ = 4348428326748. Its totient is φ = 314910720000.

The previous prime is 1181959905589. The next prime is 1181959905613. The reversal of 1181959905600 is 65099591811.

1181959905600 is a `hidden beast` number, since 1 + 18 + 19 + 5 + 9 + 9 + 0 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 155563981056 + 1026395924544 = 394416^2 + 1013112^2 .

It is a super-2 number, since 2×1181959905600² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 176382250 + ... + 176388950.

Almost surely, 2^{1181959905600} is an apocalyptic number.

1181959905600 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 1181959905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174214163374).

1181959905600 is an abundant number, since it is smaller than the sum of its proper divisors (3166468421148).

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

1181959905600 is a wasteful number, since it uses less digits than its factorization.

1181959905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 1181959905600 in words is "one trillion, one hundred eighty-one billion, nine hundred fifty-nine million, nine hundred five thousand, six hundred".