10000579776 has 112 divisors (see below), whose sum is σ = 30384658560. Its totient is φ = 2870968320.

The previous prime is 10000579769. The next prime is 10000579793. The reversal of 10000579776 is 67797500001.

It is a super-2 number, since 2×10000579776² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 84481 + ... + 164736.

Almost surely, 2^10000579776 is an apocalyptic number.

10000579776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10000579776 is an abundant number, since it is smaller than the sum of its proper divisors (20384078784).

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

10000579776 is a wasteful number, since it uses less digits than its factorization.

10000579776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249262 (or 249252 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 42.

The spelling of 10000579776 in words is "ten billion, five hundred seventy-nine thousand, seven hundred seventy-six".