1005560166120 has 64 divisors (see below), whose sum is σ = 3034744513920. Its totient is φ = 266543687424.

The previous prime is 1005560166053. The next prime is 1005560166131. The reversal of 1005560166120 is 216610655001.

It is a super-2 number, since 2×1005560166120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25068787 + ... + 25108866.

It is an arithmetic number, because the mean of its divisors is an integer number (47417883030).

Almost surely, 2^{1005560166120} is an apocalyptic number.

1005560166120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005560166120 is an abundant number, since it is smaller than the sum of its proper divisors (2029184347800).

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

1005560166120 is a wasteful number, since it uses less digits than its factorization.

1005560166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50177834 (or 50177830 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 1005560166120 in words is "one trillion, five billion, five hundred sixty million, one hundred sixty-six thousand, one hundred twenty".