11288885680800 has 1728 divisors, whose sum is σ = 51015202318080. Its totient is φ = 2285352714240.

The previous prime is 11288885680711. The next prime is 11288885680871. The reversal of 11288885680800 is 808658888211.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1769692011 + ... + 1769698389.

Almost surely, 2^{11288885680800} is an apocalyptic number.

11288885680800 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 11288885680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25507601159040).

11288885680800 is an abundant number, since it is smaller than the sum of its proper divisors (39726316637280).

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

11288885680800 is a wasteful number, since it uses less digits than its factorization.

11288885680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 63.

The spelling of 11288885680800 in words is "eleven trillion, two hundred eighty-eight billion, eight hundred eighty-five million, six hundred eighty thousand, eight hundred".