11035734641760 has 384 divisors, whose sum is σ = 38772545011200. Its totient is φ = 2622087659520.

The previous prime is 11035734641717. The next prime is 11035734641801. The reversal of 11035734641760 is 6714643753011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221527255 + ... + 221577065.

It is an arithmetic number, because the mean of its divisors is an integer number (100970169300).

Almost surely, 2^{11035734641760} is an apocalyptic number.

11035734641760 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 11035734641760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386272505600).

11035734641760 is an abundant number, since it is smaller than the sum of its proper divisors (27736810369440).

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

11035734641760 is a wasteful number, since it uses less digits than its factorization.

11035734641760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51294 (or 51286 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 11035734641760 in words is "eleven trillion, thirty-five billion, seven hundred thirty-four million, six hundred forty-one thousand, seven hundred sixty".