10082680160 has 48 divisors (see below), whose sum is σ = 27223239456. Its totient is φ = 3456918528.

The previous prime is 10082680129. The next prime is 10082680187. The reversal of 10082680160 is 6108628001.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 4500077 + ... + 4502316.

It is an arithmetic number, because the mean of its divisors is an integer number (567150822).

Almost surely, 2^10082680160 is an apocalyptic number.

10082680160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10082680160 is an abundant number, since it is smaller than the sum of its proper divisors (17140559296).

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

10082680160 is an equidigital number, since it uses as much as digits as its factorization.

10082680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9002415 (or 9002407 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10082680160 in words is "ten billion, eighty-two million, six hundred eighty thousand, one hundred sixty".