11005061010 has 64 divisors (see below), whose sum is σ = 28144132992. Its totient is φ = 2744441856.

The previous prime is 11005061009. The next prime is 11005061017. The reversal of 11005061010 is 1016050011.

It is a super-2 number, since 2×11005061010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11005061017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11349 + ... + 148791.

It is an arithmetic number, because the mean of its divisors is an integer number (439752078).

Almost surely, 2^11005061010 is an apocalyptic number.

11005061010 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 11005061010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072066496).

11005061010 is an abundant number, since it is smaller than the sum of its proper divisors (17139071982).

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

11005061010 is a wasteful number, since it uses less digits than its factorization.

11005061010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137627.

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 11005061010 in words is "eleven billion, five million, sixty-one thousand, ten".