10082895624 has 96 divisors (see below), whose sum is σ = 28728648000. Its totient is φ = 3190029696.

The previous prime is 10082895611. The next prime is 10082895629. The reversal of 10082895624 is 42659828001.

10082895624 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 2 + 89 + 562 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10082895624.

It is not an unprimeable number, because it can be changed into a prime (10082895629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82269 + ... + 164115.

It is an arithmetic number, because the mean of its divisors is an integer number (299256750).

Almost surely, 2^10082895624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10082895624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364324000).

10082895624 is an abundant number, since it is smaller than the sum of its proper divisors (18645752376).

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

10082895624 is a wasteful number, since it uses less digits than its factorization.

10082895624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81947 (or 81940 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10082895624 in words is "ten billion, eighty-two million, eight hundred ninety-five thousand, six hundred twenty-four".