10566210074112 has 2560 divisors, whose sum is σ = 41940315648000. Its totient is φ = 2633637888000.

The previous prime is 10566210074083. The next prime is 10566210074141. The reversal of 10566210074112 is 21147001266501.

10566210074112 is a `hidden beast` number, since 1 + 0 + 566 + 2 + 10 + 0 + 74 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10566210074083) and next prime (10566210074141).

It is a super-2 number, since 2×10566210074112² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 173216558562 + ... + 173216558622.

It is an arithmetic number, because the mean of its divisors is an integer number (16382935800).

Almost surely, 2^{10566210074112} is an apocalyptic number.

10566210074112 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 10566210074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20970157824000).

10566210074112 is an abundant number, since it is smaller than the sum of its proper divisors (31374105573888).

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

10566210074112 is an frugal number, since it uses more digits than its factorization.

10566210074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10566210074112 in words is "ten trillion, five hundred sixty-six billion, two hundred ten million, seventy-four thousand, one hundred twelve".