11248752324800 has 672 divisors, whose sum is σ = 30051118480320. Its totient is φ = 4135786905600.

The previous prime is 11248752324793. The next prime is 11248752324839. The reversal of 11248752324800 is 842325784211.

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, 14859646022 + ... + 14859646778.

It is an arithmetic number, because the mean of its divisors is an integer number (44718926310).

Almost surely, 2^{11248752324800} is an apocalyptic number.

11248752324800 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 11248752324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025559240160).

11248752324800 is an abundant number, since it is smaller than the sum of its proper divisors (18802366155520).

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

11248752324800 is a wasteful number, since it uses less digits than its factorization.

11248752324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 11248752324800 in words is "eleven trillion, two hundred forty-eight billion, seven hundred fifty-two million, three hundred twenty-four thousand, eight hundred".