11286570240 has 432 divisors, whose sum is σ = 44040024000. Its totient is φ = 2735124480.

The previous prime is 11286570227. The next prime is 11286570277. The reversal of 11286570240 is 4207568211.

11286570240 is a `hidden beast` number, since 1 + 1 + 2 + 86 + 570 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 11286570195 and 11286570204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4180411 + ... + 4183109.

It is an arithmetic number, because the mean of its divisors is an integer number (101944500).

Almost surely, 2^11286570240 is an apocalyptic number.

11286570240 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 11286570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22020012000).

11286570240 is an abundant number, since it is smaller than the sum of its proper divisors (32753453760).

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

11286570240 is a wasteful number, since it uses less digits than its factorization.

11286570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11286570240 in words is "eleven billion, two hundred eighty-six million, five hundred seventy thousand, two hundred forty".