1039885959168 has 1152 divisors, whose sum is σ = 3853237802400. Its totient is φ = 276264124416.

The previous prime is 1039885959163. The next prime is 1039885959181. The reversal of 1039885959168 is 8619595889301.

1039885959168 is a `hidden beast` number, since 1 + 0 + 398 + 8 + 5 + 95 + 91 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1039885959096 and 1039885959105.

It is not an unprimeable number, because it can be changed into a prime (1039885959163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12528746455 + ... + 12528746537.

Almost surely, 2^{1039885959168} is an apocalyptic number.

1039885959168 is a gapful number since it is divisible by the number (18) 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 1039885959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926618901200).

1039885959168 is an abundant number, since it is smaller than the sum of its proper divisors (2813351843232).

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

1039885959168 is an frugal number, since it uses more digits than its factorization.

1039885959168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 72.

The spelling of 1039885959168 in words is "one trillion, thirty-nine billion, eight hundred eighty-five million, nine hundred fifty-nine thousand, one hundred sixty-eight".