11288610748800 has 4800 divisors, whose sum is σ = 56712681249840. Its totient is φ = 2184944025600.

The previous prime is 11288610748763. The next prime is 11288610748829. The reversal of 11288610748800 is 884701688211.

11288610748800 is a `hidden beast` number, since 1 + 12 + 8 + 8 + 610 + 7 + 4 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 116377430352 + ... + 116377430448.

Almost surely, 2^{11288610748800} is an apocalyptic number.

11288610748800 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 11288610748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28356340624920).

11288610748800 is an abundant number, since it is smaller than the sum of its proper divisors (45424070501040).

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

11288610748800 is an equidigital number, since it uses as much as digits as its factorization.

11288610748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 11288610748800 in words is "eleven trillion, two hundred eighty-eight billion, six hundred ten million, seven hundred forty-eight thousand, eight hundred".