10859940000 has 1440 divisors, whose sum is σ = 51863898240. Its totient is φ = 2156544000.

The previous prime is 10859939941. The next prime is 10859940073. The reversal of 10859940000 is 4995801.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 239 ways as a sum of consecutive naturals, for example, 638819992 + ... + 638820008.

It is an arithmetic number, because the mean of its divisors is an integer number (36016596).

Almost surely, 2^10859940000 is an apocalyptic number.

10859940000 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 10859940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25931949120).

10859940000 is an abundant number, since it is smaller than the sum of its proper divisors (41003958240).

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

10859940000 is a wasteful number, since it uses less digits than its factorization.

10859940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10859940000 in words is "ten billion, eight hundred fifty-nine million, nine hundred forty thousand".