10202585080 has 32 divisors (see below), whose sum is σ = 22967258400. Its totient is φ = 4078999936.

The previous prime is 10202585053. The next prime is 10202585101. The reversal of 10202585080 is 8058520201.

10202585080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19014 + ... + 144106.

It is an arithmetic number, because the mean of its divisors is an integer number (717726825).

Almost surely, 2^10202585080 is an apocalyptic number.

10202585080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202585080 is an abundant number, since it is smaller than the sum of its proper divisors (12764673320).

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

10202585080 is a wasteful number, since it uses less digits than its factorization.

10202585080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127143 (or 127139 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The spelling of 10202585080 in words is "ten billion, two hundred two million, five hundred eighty-five thousand, eighty".