1157189958666 has 160 divisors (see below), whose sum is σ = 3027661148160. Its totient is φ = 323525954304.

The previous prime is 1157189958649. The next prime is 1157189958713. The reversal of 1157189958666 is 6668599817511.

It is a junction number, because it is equal to n+sod(n) for n = 1157189958594 and 1157189958603.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10458280 + ... + 10568348.

It is an arithmetic number, because the mean of its divisors is an integer number (18922882176).

Almost surely, 2^{1157189958666} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157189958666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513830574080).

1157189958666 is an abundant number, since it is smaller than the sum of its proper divisors (1870471189494).

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

1157189958666 is a wasteful number, since it uses less digits than its factorization.

1157189958666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110290 (or 110281 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 72.

The spelling of 1157189958666 in words is "one trillion, one hundred fifty-seven billion, one hundred eighty-nine million, nine hundred fifty-eight thousand, six hundred sixty-six".