10765739820 has 192 divisors, whose sum is σ = 33954826752. Its totient is φ = 2525952000.

The previous prime is 10765739819. The next prime is 10765739827. The reversal of 10765739820 is 2893756701.

It is a self number, because there is not a number n which added to its sum of digits gives 10765739820.

It is not an unprimeable number, because it can be changed into a prime (10765739827) 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 63 ways as a sum of consecutive naturals, for example, 3543342 + ... + 3546378.

It is an arithmetic number, because the mean of its divisors is an integer number (176848056).

Almost surely, 2^10765739820 is an apocalyptic number.

10765739820 is a gapful number since it is divisible by the number (10) 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 10765739820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977413376).

10765739820 is an abundant number, since it is smaller than the sum of its proper divisors (23189086932).

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

10765739820 is a wasteful number, since it uses less digits than its factorization.

10765739820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 10765739820 in words is "ten billion, seven hundred sixty-five million, seven hundred thirty-nine thousand, eight hundred twenty".