10606010580 has 216 divisors, whose sum is σ = 35794283616. Its totient is φ = 2539743360.

The previous prime is 10606010573. The next prime is 10606010581. The reversal of 10606010580 is 8501060601.

10606010580 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 601 + 0 + 58 + 0 = 666.

It is a super-2 number, since 2×10606010580² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10606010581) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1804807 + ... + 1810673.

It is an arithmetic number, because the mean of its divisors is an integer number (165714276).

Almost surely, 2^10606010580 is an apocalyptic number.

10606010580 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 10606010580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17897141808).

10606010580 is an abundant number, since it is smaller than the sum of its proper divisors (25188273036).

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

10606010580 is a wasteful number, since it uses less digits than its factorization.

10606010580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10606010580 in words is "ten billion, six hundred six million, ten thousand, five hundred eighty".