11085719040 has 960 divisors, whose sum is σ = 46329034752. Its totient is φ = 2418278400.

The previous prime is 11085719033. The next prime is 11085719063. The reversal of 11085719040 is 4091758011.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11085718986 and 11085719004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133562839 + ... + 133562921.

Almost surely, 2^11085719040 is an apocalyptic number.

11085719040 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 11085719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164517376).

11085719040 is an abundant number, since it is smaller than the sum of its proper divisors (35243315712).

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

11085719040 is a wasteful number, since it uses less digits than its factorization.

11085719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11085719040 in words is "eleven billion, eighty-five million, seven hundred nineteen thousand, forty".