10835856000 has 448 divisors, whose sum is σ = 40435972200. Its totient is φ = 2886451200.

The previous prime is 10835855977. The next prime is 10835856013. The reversal of 10835856000 is 65853801.

10835856000 is a `hidden beast` number, since 10 + 8 + 3 + 585 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 660695616 + 10175160384 = 25704^2 + 100872^2 .

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 55 ways as a sum of consecutive naturals, for example, 11663536 + ... + 11664464.

Almost surely, 2^10835856000 is an apocalyptic number.

10835856000 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 10835856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217986100).

10835856000 is an abundant number, since it is smaller than the sum of its proper divisors (29600116200).

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

10835856000 is an frugal number, since it uses more digits than its factorization.

10835856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10835856000 in words is "ten billion, eight hundred thirty-five million, eight hundred fifty-six thousand".