11053710362240 has 1536 divisors, whose sum is σ = 35089932810240. Its totient is φ = 3297141227520.

The previous prime is 11053710362231. The next prime is 11053710362263. The reversal of 11053710362240 is 4226301735011.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11053710362240.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103305704267 + ... + 103305704373.

It is an arithmetic number, because the mean of its divisors is an integer number (22845008340).

Almost surely, 2^{11053710362240} is an apocalyptic number.

11053710362240 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 11053710362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17544966405120).

11053710362240 is an abundant number, since it is smaller than the sum of its proper divisors (24036222448000).

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

11053710362240 is a wasteful number, since it uses less digits than its factorization.

11053710362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 11053710362240 in words is "eleven trillion, fifty-three billion, seven hundred ten million, three hundred sixty-two thousand, two hundred forty".