10082547840 has 256 divisors, whose sum is σ = 32818867200. Its totient is φ = 2632396800.

The previous prime is 10082547823. The next prime is 10082547883. The reversal of 10082547840 is 4874528001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24063151 + ... + 24063569.

It is an arithmetic number, because the mean of its divisors is an integer number (128198700).

Almost surely, 2^10082547840 is an apocalyptic number.

10082547840 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 10082547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409433600).

10082547840 is an abundant number, since it is smaller than the sum of its proper divisors (22736319360).

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

10082547840 is a wasteful number, since it uses less digits than its factorization.

10082547840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 10082547840 in words is "ten billion, eighty-two million, five hundred forty-seven thousand, eight hundred forty".