10585843840 has 512 divisors, whose sum is σ = 31979888640. Its totient is φ = 3295395840.

The previous prime is 10585843799. The next prime is 10585843843. The reversal of 10585843840 is 4834858501.

It is a super-2 number, since 2×10585843840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (10585843843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98933067 + ... + 98933173.

It is an arithmetic number, because the mean of its divisors is an integer number (62460720).

Almost surely, 2^10585843840 is an apocalyptic number.

10585843840 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 10585843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15989944320).

10585843840 is an abundant number, since it is smaller than the sum of its proper divisors (21394044800).

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

10585843840 is a wasteful number, since it uses less digits than its factorization.

10585843840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The spelling of 10585843840 in words is "ten billion, five hundred eighty-five million, eight hundred forty-three thousand, eight hundred forty".