11005769417010 has 32 divisors (see below), whose sum is σ = 26423788021632. Its totient is φ = 2933767242240.

The previous prime is 11005769416997. The next prime is 11005769417053. The reversal of 11005769417010 is 1071496750011.

It is a super-2 number, since 2×11005769417010² (a number of 27 digits) contains 22 as substring.

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, 68956606 + ... + 69116025.

It is an arithmetic number, because the mean of its divisors is an integer number (825743375676).

Almost surely, 2^{11005769417010} is an apocalyptic number.

11005769417010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11005769417010 is an abundant number, since it is smaller than the sum of its proper divisors (15418018604622).

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

11005769417010 is a wasteful number, since it uses less digits than its factorization.

11005769417010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138075298.

The product of its (nonzero) digits is 52920, while the sum is 42.

The spelling of 11005769417010 in words is "eleven trillion, five billion, seven hundred sixty-nine million, four hundred seventeen thousand, ten".