10765353564 has 216 divisors, whose sum is σ = 34758648288. Its totient is φ = 2742128640.

The previous prime is 10765353541. The next prime is 10765353569. The reversal of 10765353564 is 46535356701.

10765353564 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 53 + 535 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10765353569) 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 71 ways as a sum of consecutive naturals, for example, 1543044 + ... + 1550004.

It is an arithmetic number, because the mean of its divisors is an integer number (160919668).

Almost surely, 2^10765353564 is an apocalyptic number.

10765353564 is a gapful number since it is divisible by the number (14) 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 10765353564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379324144).

10765353564 is an abundant number, since it is smaller than the sum of its proper divisors (23993294724).

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

10765353564 is a wasteful number, since it uses less digits than its factorization.

10765353564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 10765353564 in words is "ten billion, seven hundred sixty-five million, three hundred fifty-three thousand, five hundred sixty-four".