10766157696 has 288 divisors, whose sum is σ = 36460756800. Its totient is φ = 3040063488.

The previous prime is 10766157643. The next prime is 10766157697. The reversal of 10766157696 is 69675166701.

10766157696 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 61 + 576 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10766157697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5022801 + ... + 5024943.

It is an arithmetic number, because the mean of its divisors is an integer number (126599850).

Almost surely, 2^10766157696 is an apocalyptic number.

10766157696 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 10766157696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230378400).

10766157696 is an abundant number, since it is smaller than the sum of its proper divisors (25694599104).

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

10766157696 is a wasteful number, since it uses less digits than its factorization.

10766157696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 10766157696 in words is "ten billion, seven hundred sixty-six million, one hundred fifty-seven thousand, six hundred ninety-six".