11195885085440 has 576 divisors, whose sum is σ = 31426607923200. Its totient is φ = 3778364620800.

The previous prime is 11195885085433. The next prime is 11195885085461. The reversal of 11195885085440 is 4458058859111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 11195885085440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5224397009 + ... + 5224399151.

It is an arithmetic number, because the mean of its divisors is an integer number (54560083200).

Almost surely, 2^{11195885085440} is an apocalyptic number.

11195885085440 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 11195885085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713303961600).

11195885085440 is an abundant number, since it is smaller than the sum of its proper divisors (20230722837760).

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

11195885085440 is a wasteful number, since it uses less digits than its factorization.

11195885085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 59.

The spelling of 11195885085440 in words is "eleven trillion, one hundred ninety-five billion, eight hundred eighty-five million, eighty-five thousand, four hundred forty".