1166428200960 has 1120 divisors, whose sum is σ = 4713472456704. Its totient is φ = 273383424000.

The previous prime is 1166428200937. The next prime is 1166428201049. The reversal of 1166428200960 is 690028246611.

1166428200960 is a `hidden beast` number, since 1 + 16 + 6 + 428 + 200 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1131355645 + ... + 1131356675.

Almost surely, 2^{1166428200960} is an apocalyptic number.

1166428200960 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 1166428200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356736228352).

1166428200960 is an abundant number, since it is smaller than the sum of its proper divisors (3547044255744).

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

1166428200960 is a wasteful number, since it uses less digits than its factorization.

1166428200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1166428200960 in words is "one trillion, one hundred sixty-six billion, four hundred twenty-eight million, two hundred thousand, nine hundred sixty".