11284386447360 has 1536 divisors, whose sum is σ = 42400771712640. Its totient is φ = 2551814553600.

The previous prime is 11284386447359. The next prime is 11284386447413. The reversal of 11284386447360 is 6374468348211.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 11284386447360.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86140354495 + ... + 86140354625.

Almost surely, 2^{11284386447360} is an apocalyptic number.

11284386447360 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 11284386447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200385856320).

11284386447360 is an abundant number, since it is smaller than the sum of its proper divisors (31116385265280).

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

11284386447360 is a wasteful number, since it uses less digits than its factorization.

11284386447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 11284386447360 in words is "eleven trillion, two hundred eighty-four billion, three hundred eighty-six million, four hundred forty-seven thousand, three hundred sixty".