1158189107680 has 384 divisors, whose sum is σ = 3368234741760. Its totient is φ = 371074007040.

The previous prime is 1158189107617. The next prime is 1158189107689. The reversal of 1158189107680 is 867019818511.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1158189107689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32325616 + ... + 32361424.

It is an arithmetic number, because the mean of its divisors is an integer number (8771444640).

Almost surely, 2^{1158189107680} is an apocalyptic number.

1158189107680 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 1158189107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684117370880).

1158189107680 is an abundant number, since it is smaller than the sum of its proper divisors (2210045634080).

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

1158189107680 is a wasteful number, since it uses less digits than its factorization.

1158189107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35922 (or 35914 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 55.

The spelling of 1158189107680 in words is "one trillion, one hundred fifty-eight billion, one hundred eighty-nine million, one hundred seven thousand, six hundred eighty".