11100816720 has 300 divisors, whose sum is σ = 44850722004. Its totient is φ = 2537256960.

The previous prime is 11100816703. The next prime is 11100816737. The reversal of 11100816720 is 2761800111.

It is an interprime number because it is at equal distance from previous prime (11100816703) and next prime (11100816737).

It can be written as a sum of positive squares in 2 ways, for example, as 4227080256 + 6873736464 = 65016^2 + 82908^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 300040 + ... + 335000.

Almost surely, 2^11100816720 is an apocalyptic number.

11100816720 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 11100816720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22425361002).

11100816720 is an abundant number, since it is smaller than the sum of its proper divisors (33749905284).

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

11100816720 is a wasteful number, since it uses less digits than its factorization.

11100816720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35000 (or 34978 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 11100816720 in words is "eleven billion, one hundred million, eight hundred sixteen thousand, seven hundred twenty".