11245424332800 has 624 divisors, whose sum is σ = 43293977400960. Its totient is φ = 2521859358720.

The previous prime is 11245424332789. The next prime is 11245424332819. The reversal of 11245424332800 is 823342454211.

It is a congruent number.

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, 113921866 + ... + 114020534.

It is an arithmetic number, because the mean of its divisors is an integer number (69381374040).

Almost surely, 2^{11245424332800} is an apocalyptic number.

11245424332800 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 11245424332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21646988700480).

11245424332800 is an abundant number, since it is smaller than the sum of its proper divisors (32048553068160).

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

11245424332800 is an equidigital number, since it uses as much as digits as its factorization.

11245424332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98766 (or 98739 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 11245424332800 in words is "eleven trillion, two hundred forty-five billion, four hundred twenty-four million, three hundred thirty-two thousand, eight hundred".