1060983166320 has 2160 divisors, whose sum is σ = 4880407633920. Its totient is φ = 205204285440.

The previous prime is 1060983166303. The next prime is 1060983166363. The reversal of 1060983166320 is 236613890601.

1060983166320 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 8 + 3 + 1 + 6 + 632 + 0 = 666.

1060983166320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1060983166320² (a number of 25 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 8354198097 + ... + 8354198223.

Almost surely, 2^{1060983166320} is an apocalyptic number.

1060983166320 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 1060983166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440203816960).

1060983166320 is an abundant number, since it is smaller than the sum of its proper divisors (3819424467600).

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

1060983166320 is a wasteful number, since it uses less digits than its factorization.

1060983166320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1060983166320 in words is "one trillion, sixty billion, nine hundred eighty-three million, one hundred sixty-six thousand, three hundred twenty".