10610005005612 has 96 divisors (see below), whose sum is σ = 27768044559360. Its totient is φ = 3503292249600.

The previous prime is 10610005005601. The next prime is 10610005005641. The reversal of 10610005005612 is 21650050001601.

It is a happy number.

10610005005612 is a `hidden beast` number, since 1 + 0 + 6 + 100 + 0 + 500 + 56 + 1 + 2 = 666.

It is a super-2 number, since 2×10610005005612² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4835193 + ... + 6678255.

It is an arithmetic number, because the mean of its divisors is an integer number (289250464160).

Almost surely, 2^{10610005005612} is an apocalyptic number.

10610005005612 is a gapful number since it is divisible by the number (12) 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 10610005005612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884022279680).

10610005005612 is an abundant number, since it is smaller than the sum of its proper divisors (17158039553748).

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

10610005005612 is a wasteful number, since it uses less digits than its factorization.

10610005005612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843580 (or 1843572 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10610005005612 in words is "ten trillion, six hundred ten billion, five million, five thousand, six hundred twelve".