1032166097952 has 192 divisors, whose sum is σ = 2980478592000. Its totient is φ = 310167649280.

The previous prime is 1032166097903. The next prime is 1032166097971. The reversal of 1032166097952 is 2597906612301.

It is a super-2 number, since 2×1032166097952² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032166097895 and 1032166097904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101796499 + ... + 101806637.

It is an arithmetic number, because the mean of its divisors is an integer number (15523326000).

Almost surely, 2^{1032166097952} is an apocalyptic number.

1032166097952 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 1032166097952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490239296000).

1032166097952 is an abundant number, since it is smaller than the sum of its proper divisors (1948312494048).

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

1032166097952 is a wasteful number, since it uses less digits than its factorization.

1032166097952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10959 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 1032166097952 in words is "one trillion, thirty-two billion, one hundred sixty-six million, ninety-seven thousand, nine hundred fifty-two".