10035735820 has 48 divisors (see below), whose sum is σ = 23990577408. Its totient is φ = 3490688960.

The previous prime is 10035735791. The next prime is 10035735823. The reversal of 10035735820 is 2853753001.

It is not an unprimeable number, because it can be changed into a prime (10035735823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986614 + ... + 996733.

It is an arithmetic number, because the mean of its divisors is an integer number (499803696).

Almost surely, 2^10035735820 is an apocalyptic number.

10035735820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10035735820 is an abundant number, since it is smaller than the sum of its proper divisors (13954841588).

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

10035735820 is a wasteful number, since it uses less digits than its factorization.

10035735820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983390 (or 1983388 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 10035735820 in words is "ten billion, thirty-five million, seven hundred thirty-five thousand, eight hundred twenty".