10859142838432 has 144 divisors (see below), whose sum is σ = 26106733175040. Its totient is φ = 4427455334400.

The previous prime is 10859142838403. The next prime is 10859142838553. The reversal of 10859142838432 is 23483824195801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974632 + ... + 4761112.

It is an arithmetic number, because the mean of its divisors is an integer number (181296758160).

Almost surely, 2^{10859142838432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10859142838432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053366587520).

10859142838432 is an abundant number, since it is smaller than the sum of its proper divisors (15247590336608).

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

10859142838432 is a wasteful number, since it uses less digits than its factorization.

10859142838432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786595 (or 3786580 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 10859142838432 in words is "ten trillion, eight hundred fifty-nine billion, one hundred forty-two million, eight hundred thirty-eight thousand, four hundred thirty-two".