10584855540 has 432 divisors, whose sum is σ = 39841139520. Its totient is φ = 2261468160.

The previous prime is 10584855499. The next prime is 10584855557. The reversal of 10584855540 is 4555848501.

10584855540 is a `hidden beast` number, since 1 + 0 + 58 + 4 + 8 + 55 + 540 = 666.

It is a super-2 number, since 2×10584855540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13908760 + ... + 13909520.

It is an arithmetic number, because the mean of its divisors is an integer number (92224860).

Almost surely, 2^10584855540 is an apocalyptic number.

10584855540 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 10584855540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19920569760).

10584855540 is an abundant number, since it is smaller than the sum of its proper divisors (29256283980).

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

10584855540 is a wasteful number, since it uses less digits than its factorization.

10584855540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 45.

The spelling of 10584855540 in words is "ten billion, five hundred eighty-four million, eight hundred fifty-five thousand, five hundred forty".