10735760900 has 72 divisors (see below), whose sum is σ = 24263822016. Its totient is φ = 4119292800.

The previous prime is 10735760897. The next prime is 10735760921. The reversal of 10735760900 is 906753701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242267 + ... + 283133.

It is an arithmetic number, because the mean of its divisors is an integer number (336997528).

Almost surely, 2^10735760900 is an apocalyptic number.

10735760900 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 10735760900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131911008).

10735760900 is an abundant number, since it is smaller than the sum of its proper divisors (13528061116).

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

10735760900 is a wasteful number, since it uses less digits than its factorization.

10735760900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40989 (or 40982 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 38.

The spelling of 10735760900 in words is "ten billion, seven hundred thirty-five million, seven hundred sixty thousand, nine hundred".