10870599168 has 720 divisors, whose sum is σ = 39250987776. Its totient is φ = 2976030720.

The previous prime is 10870599161. The next prime is 10870599169. The reversal of 10870599168 is 86199507801.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10870599161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231289321 + ... + 231289367.

Almost surely, 2^10870599168 is an apocalyptic number.

10870599168 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 10870599168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19625493888).

10870599168 is an abundant number, since it is smaller than the sum of its proper divisors (28380388608).

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

10870599168 is an equidigital number, since it uses as much as digits as its factorization.

10870599168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 10870599168 in words is "ten billion, eight hundred seventy million, five hundred ninety-nine thousand, one hundred sixty-eight".