11005005550050 has 480 divisors, whose sum is σ = 32948684613504. Its totient is φ = 2713326336000.

The previous prime is 11005005550043. The next prime is 11005005550051. The reversal of 11005005550050 is 5005550050011.

11005005550050 is a `hidden beast` number, since 1 + 10 + 0 + 50 + 0 + 5 + 550 + 0 + 50 = 666.

It is a super-2 number, since 2×11005005550050² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11005005549996 and 11005005550023.

It is not an unprimeable number, because it can be changed into a prime (11005005550051) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5472403545 + ... + 5472405555.

Almost surely, 2^{11005005550050} is an apocalyptic number.

11005005550050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11005005550050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474342306752).

11005005550050 is an abundant number, since it is smaller than the sum of its proper divisors (21943679063454).

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

11005005550050 is a wasteful number, since it uses less digits than its factorization.

11005005550050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 11005005550050 in words is "eleven trillion, five billion, five million, five hundred fifty thousand, fifty".