10761645400000 has 672 divisors, whose sum is σ = 29829104940096. Its totient is φ = 3819110400000.

The previous prime is 10761645399983. The next prime is 10761645400013. The reversal of 10761645400000 is 454616701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18147799704 + ... + 18147800296.

It is an arithmetic number, because the mean of its divisors is an integer number (44388549018).

Almost surely, 2^{10761645400000} is an apocalyptic number.

10761645400000 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 10761645400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914552470048).

10761645400000 is an abundant number, since it is smaller than the sum of its proper divisors (19067459540096).

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

10761645400000 is an equidigital number, since it uses as much as digits as its factorization.

10761645400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 10761645400000 in words is "ten trillion, seven hundred sixty-one billion, six hundred forty-five million, four hundred thousand".