10005560060610 has 96 divisors (see below), whose sum is σ = 24589375072128. Its totient is φ = 2605612423680.

The previous prime is 10005560060591. The next prime is 10005560060659. The reversal of 10005560060610 is 1606006550001.

It is a super-2 number, since 2×10005560060610² (a number of 27 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, 370137795 + ... + 370164825.

It is an arithmetic number, because the mean of its divisors is an integer number (256139323668).

Almost surely, 2^{10005560060610} is an apocalyptic number.

10005560060610 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 10005560060610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294687536064).

10005560060610 is an abundant number, since it is smaller than the sum of its proper divisors (14583815011518).

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

10005560060610 is a wasteful number, since it uses less digits than its factorization.

10005560060610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33800 (or 33757 counting only the distinct ones).

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

The spelling of 10005560060610 in words is "ten trillion, five billion, five hundred sixty million, sixty thousand, six hundred ten".