10066505610 has 96 divisors (see below), whose sum is σ = 28127502720. Its totient is φ = 2298995328.

The previous prime is 10066505573. The next prime is 10066505641. The reversal of 10066505610 is 1650566001.

It is a super-2 number, since 2×10066505610² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2510227 + ... + 2514233.

It is an arithmetic number, because the mean of its divisors is an integer number (292994820).

Almost surely, 2^10066505610 is an apocalyptic number.

10066505610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066505610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063751360).

10066505610 is an abundant number, since it is smaller than the sum of its proper divisors (18060997110).

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

10066505610 is a wasteful number, since it uses less digits than its factorization.

10066505610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10066505610 in words is "ten billion, sixty-six million, five hundred five thousand, six hundred ten".