10797917676 has 288 divisors, whose sum is σ = 33416022528. Its totient is φ = 2647756800.

The previous prime is 10797917671. The next prime is 10797917677. The reversal of 10797917676 is 67671979701.

10797917676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10797917676² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10797917671) 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 95 ways as a sum of consecutive naturals, for example, 24374311 + ... + 24374753.

It is an arithmetic number, because the mean of its divisors is an integer number (116027856).

Almost surely, 2^10797917676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10797917676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708011264).

10797917676 is an abundant number, since it is smaller than the sum of its proper divisors (22618104852).

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

10797917676 is a wasteful number, since it uses less digits than its factorization.

10797917676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 7001316, while the sum is 60.

The spelling of 10797917676 in words is "ten billion, seven hundred ninety-seven million, nine hundred seventeen thousand, six hundred seventy-six".