10731352705000 has 320 divisors, whose sum is σ = 26253047898000. Its totient is φ = 4106059776000.

The previous prime is 10731352704949. The next prime is 10731352705001. The reversal of 10731352705000 is 50725313701.

It can be written as a sum of positive squares in 40 ways, for example, as 10729856717316 + 1495987684 = 3275646^2 + 38678^2 .

It is a super-2 number, since 2×10731352705000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10731352705001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13954944616 + ... + 13954945384.

Almost surely, 2^{10731352705000} is an apocalyptic number.

10731352705000 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 10731352705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126523949000).

10731352705000 is an abundant number, since it is smaller than the sum of its proper divisors (15521695193000).

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

10731352705000 is a wasteful number, since it uses less digits than its factorization.

10731352705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 34.

The spelling of 10731352705000 in words is "ten trillion, seven hundred thirty-one billion, three hundred fifty-two million, seven hundred five thousand".