1031160666000 has 320 divisors, whose sum is σ = 3514937886720. Its totient is φ = 259349644800.

The previous prime is 1031160665849. The next prime is 1031160666001. The reversal of 1031160666000 is 6660611301.

1031160666000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1031160666001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25858077 + ... + 25897923.

It is an arithmetic number, because the mean of its divisors is an integer number (10984180896).

Almost surely, 2^{1031160666000} is an apocalyptic number.

1031160666000 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 1031160666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757468943360).

1031160666000 is an abundant number, since it is smaller than the sum of its proper divisors (2483777220720).

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

1031160666000 is a wasteful number, since it uses less digits than its factorization.

1031160666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40119 (or 40103 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 1031160666000 in words is "one trillion, thirty-one billion, one hundred sixty million, six hundred sixty-six thousand".