11120719680 has 336 divisors, whose sum is σ = 44436572544. Its totient is φ = 2499932160.

The previous prime is 11120719663. The next prime is 11120719681. The reversal of 11120719680 is 8691702111.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×11120719680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120719681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1225239 + ... + 1234281.

It is an arithmetic number, because the mean of its divisors is an integer number (132251704).

Almost surely, 2^11120719680 is an apocalyptic number.

11120719680 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 11120719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22218286272).

11120719680 is an abundant number, since it is smaller than the sum of its proper divisors (33315852864).

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

11120719680 is a wasteful number, since it uses less digits than its factorization.

11120719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 11120719680 in words is "eleven billion, one hundred twenty million, seven hundred nineteen thousand, six hundred eighty".