10842586580 has 96 divisors (see below), whose sum is σ = 26280683520. Its totient is φ = 3680691840.

The previous prime is 10842586543. The next prime is 10842586583. The reversal of 10842586580 is 8568524801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10842586583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12278819 + ... + 12279701.

It is an arithmetic number, because the mean of its divisors is an integer number (273757120).

Almost surely, 2^10842586580 is an apocalyptic number.

10842586580 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 10842586580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140341760).

10842586580 is an abundant number, since it is smaller than the sum of its proper divisors (15438096940).

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

10842586580 is a wasteful number, since it uses less digits than its factorization.

10842586580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 47.

The spelling of 10842586580 in words is "ten billion, eight hundred forty-two million, five hundred eighty-six thousand, five hundred eighty".