10745936835744 has 768 divisors, whose sum is σ = 33236119977984. Its totient is φ = 3009987993600.

The previous prime is 10745936835743. The next prime is 10745936835859. The reversal of 10745936835744 is 44753863954701.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (10745936835743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11112653949 + ... + 11112654915.

It is an arithmetic number, because the mean of its divisors is an integer number (43276197888).

Almost surely, 2^{10745936835744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10745936835744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16618059988992).

10745936835744 is an abundant number, since it is smaller than the sum of its proper divisors (22490183142240).

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

10745936835744 is a wasteful number, since it uses less digits than its factorization.

10745936835744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 66.

The spelling of 10745936835744 in words is "ten trillion, seven hundred forty-five billion, nine hundred thirty-six million, eight hundred thirty-five thousand, seven hundred forty-four".