10676262602112 has 128 divisors (see below), whose sum is σ = 29066619899520. Its totient is φ = 3470028902400.

The previous prime is 10676262602101. The next prime is 10676262602119. The reversal of 10676262602112 is 21120626267601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10676262602112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10676262602119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28325163 + ... + 28699605.

It is an arithmetic number, because the mean of its divisors is an integer number (227082967965).

Almost surely, 2^{10676262602112} is an apocalyptic number.

10676262602112 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 10676262602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14533309949760).

10676262602112 is an abundant number, since it is smaller than the sum of its proper divisors (18390357297408).

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

10676262602112 is a wasteful number, since it uses less digits than its factorization.

10676262602112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376312 (or 376300 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

Adding to 10676262602112 its reverse (21120626267601), we get a palindrome (31796888869713).

The spelling of 10676262602112 in words is "ten trillion, six hundred seventy-six billion, two hundred sixty-two million, six hundred two thousand, one hundred twelve".