11245310300160 has 1248 divisors, whose sum is σ = 41711186829312. Its totient is φ = 2904605982720.

The previous prime is 11245310300153. The next prime is 11245310300171. The reversal of 11245310300160 is 6100301354211.

It is a happy number.

11245310300160 is a `hidden beast` number, since 1 + 1 + 2 + 45 + 310 + 300 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 30641172297 + ... + 30641172663.

It is an arithmetic number, because the mean of its divisors is an integer number (33422425344).

Almost surely, 2^{11245310300160} is an apocalyptic number.

11245310300160 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 11245310300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20855593414656).

11245310300160 is an abundant number, since it is smaller than the sum of its proper divisors (30465876529152).

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

11245310300160 is an equidigital number, since it uses as much as digits as its factorization.

11245310300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11245310300160 its reverse (6100301354211), we get a palindrome (17345611654371).

The spelling of 11245310300160 in words is "eleven trillion, two hundred forty-five billion, three hundred ten million, three hundred thousand, one hundred sixty".