10075782896 has 40 divisors (see below), whose sum is σ = 19701492000. Its totient is φ = 4991696640.

The previous prime is 10075782869. The next prime is 10075782931. The reversal of 10075782896 is 69828757001.

It is a super-3 number, since 3×10075782896³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998645 + ... + 1008683.

It is an arithmetic number, because the mean of its divisors is an integer number (492537300).

Almost surely, 2^10075782896 is an apocalyptic number.

10075782896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10075782896 is a deficient number, since it is larger than the sum of its proper divisors (9625709104).

10075782896 is a wasteful number, since it uses less digits than its factorization.

10075782896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 53.

The spelling of 10075782896 in words is "ten billion, seventy-five million, seven hundred eighty-two thousand, eight hundred ninety-six".