10863393120 has 288 divisors, whose sum is σ = 38872177344. Its totient is φ = 2757427200.

The previous prime is 10863393119. The next prime is 10863393137. The reversal of 10863393120 is 2139336801.

10863393120 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 339 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7981240 + ... + 7982600.

It is an arithmetic number, because the mean of its divisors is an integer number (134972838).

Almost surely, 2^10863393120 is an apocalyptic number.

10863393120 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 10863393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19436088672).

10863393120 is an abundant number, since it is smaller than the sum of its proper divisors (28008784224).

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

10863393120 is a wasteful number, since it uses less digits than its factorization.

10863393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10863393120 in words is "ten billion, eight hundred sixty-three million, three hundred ninety-three thousand, one hundred twenty".