11287988068800 has 168 divisors, whose sum is σ = 38983166128000. Its totient is φ = 2851702225920.

The previous prime is 11287988068757. The next prime is 11287988068813. The reversal of 11287988068800 is 886088978211.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61794700 + ... + 61977099.

Almost surely, 2^{11287988068800} is an apocalyptic number.

11287988068800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11287988068800 is an abundant number, since it is smaller than the sum of its proper divisors (27695178059200).

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

11287988068800 is a wasteful number, since it uses less digits than its factorization.

11287988068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123771843 (or 123771828 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 66.

The spelling of 11287988068800 in words is "eleven trillion, two hundred eighty-seven billion, nine hundred eighty-eight million, sixty-eight thousand, eight hundred".