10961666703360 has 736 divisors, whose sum is σ = 39621068582400. Its totient is φ = 2910880530432.

The previous prime is 10961666703353. The next prime is 10961666703389. The reversal of 10961666703360 is 6330766616901.

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 = 10961666703297 and 10961666703306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45864714121 + ... + 45864714359.

Almost surely, 2^{10961666703360} is an apocalyptic number.

10961666703360 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 10961666703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810534291200).

10961666703360 is an abundant number, since it is smaller than the sum of its proper divisors (28659401879040).

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

10961666703360 is an frugal number, since it uses more digits than its factorization.

10961666703360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 10961666703360 in words is "ten trillion, nine hundred sixty-one billion, six hundred sixty-six million, seven hundred three thousand, three hundred sixty".