10082605680 has 640 divisors, whose sum is σ = 42054451200. Its totient is φ = 2170561536.

The previous prime is 10082605649. The next prime is 10082605717. The reversal of 10082605680 is 8650628001.

It is a happy number.

10082605680 is a `hidden beast` number, since 10 + 0 + 82 + 6 + 0 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27472857 + ... + 27473223.

It is an arithmetic number, because the mean of its divisors is an integer number (65710080).

Almost surely, 2^10082605680 is an apocalyptic number.

10082605680 is a gapful number since it is divisible by the number (10) 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 10082605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21027225600).

10082605680 is an abundant number, since it is smaller than the sum of its proper divisors (31971845520).

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

10082605680 is a wasteful number, since it uses less digits than its factorization.

10082605680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10082605680 in words is "ten billion, eighty-two million, six hundred five thousand, six hundred eighty".