10791869760 has 840 divisors, whose sum is σ = 46353633480. Its totient is φ = 2373525504.

The previous prime is 10791869729. The next prime is 10791869783. The reversal of 10791869760 is 6796819701.

It can be written as a sum of positive squares in 4 ways, for example, as 3536918784 + 7254950976 = 59472^2 + 85176^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10791869697 and 10791869706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36832174 + ... + 36832466.

It is an arithmetic number, because the mean of its divisors is an integer number (55182897).

Almost surely, 2^10791869760 is an apocalyptic number.

10791869760 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 10791869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23176816740).

10791869760 is an abundant number, since it is smaller than the sum of its proper divisors (35561763720).

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

10791869760 is a wasteful number, since it uses less digits than its factorization.

10791869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 10791869760 in words is "ten billion, seven hundred ninety-one million, eight hundred sixty-nine thousand, seven hundred sixty".