11117502720 has 432 divisors, whose sum is σ = 41212534272. Its totient is φ = 2866544640.

The previous prime is 11117502719. The next prime is 11117502743. The reversal of 11117502720 is 2720571111.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 47 ways as a sum of consecutive naturals, for example, 9641664 + ... + 9642816.

Almost surely, 2^11117502720 is an apocalyptic number.

11117502720 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 11117502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20606267136).

11117502720 is an abundant number, since it is smaller than the sum of its proper divisors (30095031552).

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

11117502720 is an equidigital number, since it uses as much as digits as its factorization.

11117502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The spelling of 11117502720 in words is "eleven billion, one hundred seventeen million, five hundred two thousand, seven hundred twenty".