11286495430560 has 2880 divisors, whose sum is σ = 49922185420800. Its totient is φ = 2390026383360.

The previous prime is 11286495430547. The next prime is 11286495430571. The reversal of 11286495430560 is 6503459468211.

11286495430560 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 6 + 49 + 5 + 4 + 30 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11286495430497 and 11286495430506.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 56716057341 + ... + 56716057539.

It is an arithmetic number, because the mean of its divisors is an integer number (17334092160).

Almost surely, 2^{11286495430560} is an apocalyptic number.

11286495430560 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 11286495430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24961092710400).

11286495430560 is an abundant number, since it is smaller than the sum of its proper divisors (38635689990240).

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

11286495430560 is a wasteful number, since it uses less digits than its factorization.

11286495430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 11286495430560 in words is "eleven trillion, two hundred eighty-six billion, four hundred ninety-five million, four hundred thirty thousand, five hundred sixty".