10582079508000 has 2304 divisors, whose sum is σ = 50931988144128. Its totient is φ = 2009318400000.

The previous prime is 10582079507999. The next prime is 10582079508029. The reversal of 10582079508000 is 80597028501.

It is a happy number.

10582079508000 is a `hidden beast` number, since 1 + 0 + 58 + 20 + 79 + 508 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10582079508000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3711706575 + ... + 3711709425.

It is an arithmetic number, because the mean of its divisors is an integer number (22105897632).

Almost surely, 2^{10582079508000} is an apocalyptic number.

10582079508000 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 10582079508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25465994072064).

10582079508000 is an abundant number, since it is smaller than the sum of its proper divisors (40349908636128).

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

10582079508000 is a wasteful number, since it uses less digits than its factorization.

10582079508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 10582079508000 in words is "ten trillion, five hundred eighty-two billion, seventy-nine million, five hundred eight thousand".