10961765500 has 240 divisors, whose sum is σ = 29216625984. Its totient is φ = 3585859200.

The previous prime is 10961765459. The next prime is 10961765501. The reversal of 10961765500 is 556716901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10961765501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27611302 + ... + 27611698.

Almost surely, 2^10961765500 is an apocalyptic number.

10961765500 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 10961765500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608312992).

10961765500 is an abundant number, since it is smaller than the sum of its proper divisors (18254860484).

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

10961765500 is an equidigital number, since it uses as much as digits as its factorization.

10961765500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The spelling of 10961765500 in words is "ten billion, nine hundred sixty-one million, seven hundred sixty-five thousand, five hundred".