10741610880000 has 6160 divisors, whose sum is σ = 56363707040256. Its totient is φ = 1970749440000.

The previous prime is 10741610879929. The next prime is 10741610880001. The reversal of 10741610880000 is 8801614701.

It is a tau number, because it is divible by the number of its divisors (6160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10741610880001) by changing a digit.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 467026559989 + ... + 467026560011.

Almost surely, 2^{10741610880000} is an apocalyptic number.

10741610880000 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 10741610880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28181853520128).

10741610880000 is an abundant number, since it is smaller than the sum of its proper divisors (45622096160256).

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

10741610880000 is an equidigital number, since it uses as much as digits as its factorization.

10741610880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 10741610880000 in words is "ten trillion, seven hundred forty-one billion, six hundred ten million, eight hundred eighty thousand".