11005019520 has 256 divisors, whose sum is σ = 39304500480. Its totient is φ = 2595594240.

The previous prime is 11005019423. The next prime is 11005019533. The reversal of 11005019520 is 2591050011.

It is a super-2 number, since 2×11005019520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 774399 + ... + 788481.

It is an arithmetic number, because the mean of its divisors is an integer number (153533205).

Almost surely, 2^11005019520 is an apocalyptic number.

11005019520 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 11005019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652250240).

11005019520 is an abundant number, since it is smaller than the sum of its proper divisors (28299480960).

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

11005019520 is a wasteful number, since it uses less digits than its factorization.

11005019520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14153 (or 14141 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

Adding to 11005019520 its reverse (2591050011), we get a palindrome (13596069531).

The spelling of 11005019520 in words is "eleven billion, five million, nineteen thousand, five hundred twenty".