10035680256 has 264 divisors, whose sum is σ = 33586913984. Its totient is φ = 2826731520.

The previous prime is 10035680209. The next prime is 10035680279. The reversal of 10035680256 is 65208653001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10035680256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4708311 + ... + 4710441.

Almost surely, 2^10035680256 is an apocalyptic number.

10035680256 is a gapful number since it is divisible by the number (16) 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 10035680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793456992).

10035680256 is an abundant number, since it is smaller than the sum of its proper divisors (23551233728).

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

10035680256 is a wasteful number, since it uses less digits than its factorization.

10035680256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10035680256 in words is "ten billion, thirty-five million, six hundred eighty thousand, two hundred fifty-six".