11288432885760 has 720 divisors, whose sum is σ = 41574169832832. Its totient is φ = 2936615731200.

The previous prime is 11288432885689. The next prime is 11288432885771. The reversal of 11288432885760 is 6758823488211.

11288432885760 is a `hidden beast` number, since 1 + 1 + 28 + 8 + 4 + 32 + 8 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816162045 + ... + 816175875.

Almost surely, 2^{11288432885760} is an apocalyptic number.

11288432885760 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 11288432885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20787084916416).

11288432885760 is an abundant number, since it is smaller than the sum of its proper divisors (30285736947072).

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

11288432885760 is an frugal number, since it uses more digits than its factorization.

11288432885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13920 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 11288432885760 in words is "eleven trillion, two hundred eighty-eight billion, four hundred thirty-two million, eight hundred eighty-five thousand, seven hundred sixty".