10055662106112 has 320 divisors, whose sum is σ = 34042271155200. Its totient is φ = 2870968320000.

The previous prime is 10055662106111. The next prime is 10055662106167. The reversal of 10055662106112 is 21160126655001.

10055662106112 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 566 + 21 + 0 + 61 + 12 = 666.

It is a super-2 number, since 2×10055662106112² (a number of 27 digits) contains 22 as substring.

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 (10055662106111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136309237 + ... + 136382987.

It is an arithmetic number, because the mean of its divisors is an integer number (106382097360).

Almost surely, 2^{10055662106112} is an apocalyptic number.

10055662106112 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 10055662106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021135577600).

10055662106112 is an abundant number, since it is smaller than the sum of its proper divisors (23986609049088).

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

10055662106112 is an equidigital number, since it uses as much as digits as its factorization.

10055662106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75194 (or 75172 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10055662106112 in words is "ten trillion, fifty-five billion, six hundred sixty-two million, one hundred six thousand, one hundred twelve".