11641085280 has 576 divisors, whose sum is σ = 45317615616. Its totient is φ = 2695680000.

The previous prime is 11641085251. The next prime is 11641085321. The reversal of 11641085280 is 8258014611.

11641085280 is a `hidden beast` number, since 1 + 1 + 641 + 0 + 8 + 5 + 2 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 74146962 + ... + 74147118.

It is an arithmetic number, because the mean of its divisors is an integer number (78676416).

Almost surely, 2^11641085280 is an apocalyptic number.

11641085280 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 11641085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22658807808).

11641085280 is an abundant number, since it is smaller than the sum of its proper divisors (33676530336).

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

11641085280 is a wasteful number, since it uses less digits than its factorization.

11641085280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 11641085280 its reverse (8258014611), we get a palindrome (19899099891).

The spelling of 11641085280 in words is "eleven billion, six hundred forty-one million, eighty-five thousand, two hundred eighty".