11050400520 has 144 divisors (see below), whose sum is σ = 38151006660. Its totient is φ = 2773407744.

The previous prime is 11050400407. The next prime is 11050400533. The reversal of 11050400520 is 2500405011.

11050400520 is a `hidden beast` number, since 1 + 105 + 0 + 40 + 0 + 520 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5960148804 + 5090251716 = 77202^2 + 71346^2 .

It is a super-2 number, since 2×11050400520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11050400493 and 11050400502.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50934 + ... + 157146.

Almost surely, 2^11050400520 is an apocalyptic number.

11050400520 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 11050400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19075503330).

11050400520 is an abundant number, since it is smaller than the sum of its proper divisors (27100606140).

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

11050400520 is a wasteful number, since it uses less digits than its factorization.

11050400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106264 (or 106240 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 11050400520 its reverse (2500405011), we get a palindrome (13550805531).

The spelling of 11050400520 in words is "eleven billion, fifty million, four hundred thousand, five hundred twenty".