11097748520320 has 768 divisors, whose sum is σ = 34308433535040. Its totient is φ = 3422129356800.

The previous prime is 11097748520317. The next prime is 11097748520323. The reversal of 11097748520320 is 2302584779011.

It is an interprime number because it is at equal distance from previous prime (11097748520317) and next prime (11097748520323).

It is a super-3 number, since 3×11097748520320³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11097748520323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4048794150 + ... + 4048796890.

Almost surely, 2^{11097748520320} is an apocalyptic number.

11097748520320 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 11097748520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154216767520).

11097748520320 is an abundant number, since it is smaller than the sum of its proper divisors (23210685014720).

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

11097748520320 is an equidigital number, since it uses as much as digits as its factorization.

11097748520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 11097748520320 in words is "eleven trillion, ninety-seven billion, seven hundred forty-eight million, five hundred twenty thousand, three hundred twenty".