1031868956160 has 960 divisors, whose sum is σ = 4243151278080. Its totient is φ = 226775531520.

The previous prime is 1031868956117. The next prime is 1031868956177. The reversal of 1031868956160 is 616598681301.

1031868956160 is a `hidden beast` number, since 1 + 0 + 3 + 18 + 6 + 8 + 9 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 1031868956097 and 1031868956106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 894942144 + ... + 894943296.

It is an arithmetic number, because the mean of its divisors is an integer number (4419949248).

Almost surely, 2^{1031868956160} is an apocalyptic number.

1031868956160 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 1031868956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121575639040).

1031868956160 is an abundant number, since it is smaller than the sum of its proper divisors (3211282321920).

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

1031868956160 is a wasteful number, since it uses less digits than its factorization.

1031868956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1031868956160 in words is "one trillion, thirty-one billion, eight hundred sixty-eight million, nine hundred fifty-six thousand, one hundred sixty".