11120578560 has 1248 divisors, whose sum is σ = 51803815680. Its totient is φ = 2208301056.

The previous prime is 11120578531. The next prime is 11120578607. The reversal of 11120578560 is 6587502111.

11120578560 is a `hidden beast` number, since 1 + 1 + 1 + 20 + 5 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 654151672 + ... + 654151688.

Almost surely, 2^11120578560 is an apocalyptic number.

11120578560 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 11120578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25901907840).

11120578560 is an abundant number, since it is smaller than the sum of its proper divisors (40683237120).

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

11120578560 is a wasteful number, since it uses less digits than its factorization.

11120578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 11120578560 in words is "eleven billion, one hundred twenty million, five hundred seventy-eight thousand, five hundred sixty".