10765812800 has 84 divisors (see below), whose sum is σ = 27136906356. Its totient is φ = 4201267200.

The previous prime is 10765812793. The next prime is 10765812803. The reversal of 10765812800 is 821856701.

It can be written as a sum of positive squares in 6 ways, for example, as 1358364736 + 9407448064 = 36856^2 + 96992^2 .

It is not an unprimeable number, because it can be changed into a prime (10765812803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16457 + ... + 147656.

It is an arithmetic number, because the mean of its divisors is an integer number (323058409).

Almost surely, 2^10765812800 is an apocalyptic number.

10765812800 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 10765812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568453178).

10765812800 is an abundant number, since it is smaller than the sum of its proper divisors (16371093556).

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

10765812800 is a wasteful number, since it uses less digits than its factorization.

10765812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164176 (or 164161 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The spelling of 10765812800 in words is "ten billion, seven hundred sixty-five million, eight hundred twelve thousand, eight hundred".