1181667101160 has 1024 divisors, whose sum is σ = 4800379852800. Its totient is φ = 225628913664.

The previous prime is 1181667101149. The next prime is 1181667101161. The reversal of 1181667101160 is 611017661811.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1181667101161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 611311554 + ... + 611313486.

It is an arithmetic number, because the mean of its divisors is an integer number (4687870950).

Almost surely, 2^{1181667101160} is an apocalyptic number.

1181667101160 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 1181667101160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400189926400).

1181667101160 is an abundant number, since it is smaller than the sum of its proper divisors (3618712751640).

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

1181667101160 is a wasteful number, since it uses less digits than its factorization.

1181667101160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 39.

The spelling of 1181667101160 in words is "one trillion, one hundred eighty-one billion, six hundred sixty-seven million, one hundred one thousand, one hundred sixty".