11063458560 has 1152 divisors, whose sum is σ = 48826810368. Its totient is φ = 2064384000.

The previous prime is 11063458517. The next prime is 11063458613. The reversal of 11063458560 is 6585436011.

11063458560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155823325 + ... + 155823395.

It is an arithmetic number, because the mean of its divisors is an integer number (42384384).

Almost surely, 2^11063458560 is an apocalyptic number.

11063458560 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 11063458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24413405184).

11063458560 is an abundant number, since it is smaller than the sum of its proper divisors (37763351808).

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

11063458560 is a wasteful number, since it uses less digits than its factorization.

11063458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 11063458560 in words is "eleven billion, sixty-three million, four hundred fifty-eight thousand, five hundred sixty".