10705859900000 has 144 divisors (see below), whose sum is σ = 26776662590160. Its totient is φ = 4212139200000.

The previous prime is 10705859899963. The next prime is 10705859900009. The reversal of 10705859900000 is 995850701.

It is a happy number.

It is a super-2 number, since 2×10705859900000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705859900009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5222471 + ... + 6977529.

It is an arithmetic number, because the mean of its divisors is an integer number (185949045765).

Almost surely, 2^{10705859900000} is an apocalyptic number.

10705859900000 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 10705859900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388331295080).

10705859900000 is an abundant number, since it is smaller than the sum of its proper divisors (16070802690160).

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

10705859900000 is an frugal number, since it uses more digits than its factorization.

10705859900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755155 (or 1755127 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 44.

The spelling of 10705859900000 in words is "ten trillion, seven hundred five billion, eight hundred fifty-nine million, nine hundred thousand".