11050505004 has 192 divisors, whose sum is σ = 32748871680. Its totient is φ = 2817054720.

The previous prime is 11050504999. The next prime is 11050505023. The reversal of 11050505004 is 40050505011.

It is a super-2 number, since 2×11050505004² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12457849 + ... + 12458735.

It is an arithmetic number, because the mean of its divisors is an integer number (170567040).

Almost surely, 2^11050505004 is an apocalyptic number.

11050505004 is a gapful number since it is divisible by the number (14) 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 11050505004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374435840).

11050505004 is an abundant number, since it is smaller than the sum of its proper divisors (21698366676).

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

11050505004 is a wasteful number, since it uses less digits than its factorization.

11050505004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The spelling of 11050505004 in words is "eleven billion, fifty million, five hundred five thousand, four".