10582096140 has 432 divisors, whose sum is σ = 41642065920. Its totient is φ = 2126995200.

The previous prime is 10582096139. The next prime is 10582096193. The reversal of 10582096140 is 4169028501.

10582096140 is a `hidden beast` number, since 10 + 5 + 8 + 20 + 9 + 614 + 0 = 666.

It is a super-2 number, since 2×10582096140² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10582096095 and 10582096104.

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, 4725141 + ... + 4727379.

Almost surely, 2^10582096140 is an apocalyptic number.

10582096140 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 10582096140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20821032960).

10582096140 is an abundant number, since it is smaller than the sum of its proper divisors (31059969780).

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

10582096140 is a wasteful number, since it uses less digits than its factorization.

10582096140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10582096140 in words is "ten billion, five hundred eighty-two million, ninety-six thousand, one hundred forty".