10005796080 has 960 divisors, whose sum is σ = 43602209280. Its totient is φ = 2094833664.

The previous prime is 10005796067. The next prime is 10005796081. The reversal of 10005796080 is 8069750001.

10005796080 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 579 + 6 + 0 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005796081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120551719 + ... + 120551801.

It is an arithmetic number, because the mean of its divisors is an integer number (45418968).

Almost surely, 2^10005796080 is an apocalyptic number.

10005796080 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 10005796080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21801104640).

10005796080 is an abundant number, since it is smaller than the sum of its proper divisors (33596413200).

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

10005796080 is a wasteful number, since it uses less digits than its factorization.

10005796080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10005796080 in words is "ten billion, five million, seven hundred ninety-six thousand, eighty".