11287407390336 has 1536 divisors, whose sum is σ = 44920322150400. Its totient is φ = 2749604659200.

The previous prime is 11287407390331. The next prime is 11287407390349. The reversal of 11287407390336 is 63309370478211.

11287407390336 is a `hidden beast` number, since 112 + 8 + 7 + 40 + 73 + 90 + 336 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11287407390331) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 13648617955 + ... + 13648618781.

It is an arithmetic number, because the mean of its divisors is an integer number (29245001400).

Almost surely, 2^{11287407390336} is an apocalyptic number.

11287407390336 is a gapful number since it is divisible by the number (16) 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 11287407390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22460161075200).

11287407390336 is an abundant number, since it is smaller than the sum of its proper divisors (33632914760064).

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

11287407390336 is a wasteful number, since it uses less digits than its factorization.

11287407390336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 11287407390336 in words is "eleven trillion, two hundred eighty-seven billion, four hundred seven million, three hundred ninety thousand, three hundred thirty-six".