11286363238560 has 480 divisors, whose sum is σ = 40895914796352. Its totient is φ = 2929600327680.

The previous prime is 11286363238547. The next prime is 11286363238573. The reversal of 11286363238560 is 6583236368211.

11286363238560 is a `hidden beast` number, since 1 + 1 + 28 + 6 + 36 + 3 + 23 + 8 + 560 = 666.

11286363238560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11286363238547) and next prime (11286363238573).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 11286363238497 and 11286363238506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 235368507 + ... + 235416453.

Almost surely, 2^{11286363238560} is an apocalyptic number.

11286363238560 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 11286363238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447957398176).

11286363238560 is an abundant number, since it is smaller than the sum of its proper divisors (29609551557792).

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

11286363238560 is a wasteful number, since it uses less digits than its factorization.

11286363238560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48458 (or 48441 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 11286363238560 in words is "eleven trillion, two hundred eighty-six billion, three hundred sixty-three million, two hundred thirty-eight thousand, five hundred sixty".