10005516576 has 240 divisors, whose sum is σ = 32851592928. Its totient is φ = 2961100800.

The previous prime is 10005516541. The next prime is 10005516589. The reversal of 10005516576 is 67561550001.

It is a super-2 number, since 2×10005516576² (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 self number, because there is not a number n which added to its sum of digits gives 10005516576.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1221936 + ... + 1230096.

Almost surely, 2^10005516576 is an apocalyptic number.

10005516576 is a gapful number since it is divisible by the number (16) 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 10005516576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425796464).

10005516576 is an abundant number, since it is smaller than the sum of its proper divisors (22846076352).

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

10005516576 is a wasteful number, since it uses less digits than its factorization.

10005516576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 10005516576 in words is "ten billion, five million, five hundred sixteen thousand, five hundred seventy-six".