10582461000 has 256 divisors, whose sum is σ = 38283148800. Its totient is φ = 2699136000.

The previous prime is 10582460969. The next prime is 10582461011. The reversal of 10582461000 is 16428501.

It is a super-2 number, since 2×10582461000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612480 + ... + 629520.

It is an arithmetic number, because the mean of its divisors is an integer number (149543550).

Almost surely, 2^10582461000 is an apocalyptic number.

10582461000 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 10582461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141574400).

10582461000 is an abundant number, since it is smaller than the sum of its proper divisors (27700687800).

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

10582461000 is a wasteful number, since it uses less digits than its factorization.

10582461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17094 (or 17074 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10582461000 its reverse (16428501), we get a palindrome (10598889501).

The spelling of 10582461000 in words is "ten billion, five hundred eighty-two million, four hundred sixty-one thousand".