11120727360 has 224 divisors, whose sum is σ = 37336780800. Its totient is φ = 2796595200.

The previous prime is 11120727337. The next prime is 11120727389. The reversal of 11120727360 is 6372702111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4358085 + ... + 4360635.

Almost surely, 2^11120727360 is an apocalyptic number.

11120727360 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 11120727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18668390400).

11120727360 is an abundant number, since it is smaller than the sum of its proper divisors (26216053440).

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

11120727360 is a wasteful number, since it uses less digits than its factorization.

11120727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 11120727360 in words is "eleven billion, one hundred twenty million, seven hundred twenty-seven thousand, three hundred sixty".