10506681216 has 96 divisors (see below), whose sum is σ = 30366858600. Its totient is φ = 3486845952.

The previous prime is 10506681203. The next prime is 10506681217. The reversal of 10506681216 is 61218660501.

10506681216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10506681216² (a number of 21 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 (10506681217) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 243895 + ... + 283721.

Almost surely, 2^10506681216 is an apocalyptic number.

10506681216 is a gapful number since it is divisible by the number (16) 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 10506681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183429300).

10506681216 is an abundant number, since it is smaller than the sum of its proper divisors (19860177384).

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

10506681216 is a wasteful number, since it uses less digits than its factorization.

10506681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40076 (or 40061 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10506681216 in words is "ten billion, five hundred six million, six hundred eighty-one thousand, two hundred sixteen".