1166560345632 has 576 divisors, whose sum is σ = 3642894259200. Its totient is φ = 325594368000.

The previous prime is 1166560345619. The next prime is 1166560345669. The reversal of 1166560345632 is 2365430656611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1315174693 + ... + 1315175579.

It is an arithmetic number, because the mean of its divisors is an integer number (6324469200).

Almost surely, 2^{1166560345632} is an apocalyptic number.

1166560345632 is a gapful number since it is divisible by the number (12) 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 1166560345632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821447129600).

1166560345632 is an abundant number, since it is smaller than the sum of its proper divisors (2476333913568).

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

1166560345632 is a wasteful number, since it uses less digits than its factorization.

1166560345632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 1166560345632 in words is "one trillion, one hundred sixty-six billion, five hundred sixty million, three hundred forty-five thousand, six hundred thirty-two".