11019960320 has 240 divisors, whose sum is σ = 28834435728. Its totient is φ = 4026531840.

The previous prime is 11019960253. The next prime is 11019960359. The reversal of 11019960320 is 2306991011.

It can be written as a sum of positive squares in 8 ways, for example, as 1230045184 + 9789915136 = 35072^2 + 98944^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57098144 + ... + 57098336.

Almost surely, 2^11019960320 is an apocalyptic number.

11019960320 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 11019960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417217864).

11019960320 is an abundant number, since it is smaller than the sum of its proper divisors (17814475408).

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

11019960320 is an equidigital number, since it uses as much as digits as its factorization.

11019960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 11019960320 in words is "eleven billion, nineteen million, nine hundred sixty thousand, three hundred twenty".