10835302056804 has 81 divisors (see below), whose sum is σ = 27784028639731. Its totient is φ = 3560436551280.

The previous prime is 10835302056793. The next prime is 10835302056811. The reversal of 10835302056804 is 40865020353801.

The square root of 10835302056804 is 3291702.

It is a perfect power (a square), and thus also a powerful number.

10835302056804 is a `hidden beast` number, since 1 + 0 + 8 + 35 + 30 + 20 + 568 + 0 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10835302056804.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1402261189 + ... + 1402268915.

Almost surely, 2^{10835302056804} is an apocalyptic number.

10835302056804 is the 3291702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10835302056804

10835302056804 is an abundant number, since it is smaller than the sum of its proper divisors (16948726582927).

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

10835302056804 is an frugal number, since it uses more digits than its factorization.

10835302056804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15606 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10835302056804 in words is "ten trillion, eight hundred thirty-five billion, three hundred two million, fifty-six thousand, eight hundred four".