11310120798496 has 96 divisors (see below), whose sum is σ = 24443590531248. Its totient is φ = 5119150632960.

The previous prime is 11310120798439. The next prime is 11310120798521. The reversal of 11310120798496 is 69489702101311.

It can be written as a sum of positive squares in 8 ways, for example, as 4909929178896 + 6400191619600 = 2215836^2 + 2529860^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47084970 + ... + 47324566.

Almost surely, 2^{11310120798496} is an apocalyptic number.

11310120798496 is a gapful number since it is divisible by the number (16) 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 11310120798496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221795265624).

11310120798496 is an abundant number, since it is smaller than the sum of its proper divisors (13133469732752).

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

11310120798496 is a wasteful number, since it uses less digits than its factorization.

11310120798496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241814 (or 241806 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 11310120798496 in words is "eleven trillion, three hundred ten billion, one hundred twenty million, seven hundred ninety-eight thousand, four hundred ninety-six".