11245936665600 has 1056 divisors, whose sum is σ = 50828874243840. Its totient is φ = 2372755783680.

The previous prime is 11245936665577. The next prime is 11245936665629. The reversal of 11245936665600 is 656663954211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62809804 + ... + 62988596.

It is an arithmetic number, because the mean of its divisors is an integer number (48133403640).

Almost surely, 2^{11245936665600} is an apocalyptic number.

11245936665600 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 11245936665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25414437121920).

11245936665600 is an abundant number, since it is smaller than the sum of its proper divisors (39582937578240).

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

11245936665600 is a wasteful number, since it uses less digits than its factorization.

11245936665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178852 (or 178823 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 11245936665600 in words is "eleven trillion, two hundred forty-five billion, nine hundred thirty-six million, six hundred sixty-five thousand, six hundred".