11205835280640 has 5184 divisors, whose sum is σ = 57097002074112. Its totient is φ = 2031663513600.

The previous prime is 11205835280569. The next prime is 11205835280657. The reversal of 11205835280640 is 4608253850211.

11205835280640 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 5 + 83 + 528 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×11205835280640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 260600820459 + ... + 260600820501.

Almost surely, 2^{11205835280640} is an apocalyptic number.

11205835280640 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 11205835280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28548501037056).

11205835280640 is an abundant number, since it is smaller than the sum of its proper divisors (45891166793472).

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

11205835280640 is an equidigital number, since it uses as much as digits as its factorization.

11205835280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 11205835280640 in words is "eleven trillion, two hundred five billion, eight hundred thirty-five million, two hundred eighty thousand, six hundred forty".