11385472217280 has 896 divisors, whose sum is σ = 44286571929600. Its totient is φ = 2418995625984.

The previous prime is 11385472217257. The next prime is 11385472217293. The reversal of 11385472217280 is 8271227458311.

It is a happy number.

It is a super-2 number, since 2×11385472217280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7967439606 + ... + 7967441034.

It is an arithmetic number, because the mean of its divisors is an integer number (49426977600).

Almost surely, 2^{11385472217280} is an apocalyptic number.

11385472217280 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 11385472217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22143285964800).

11385472217280 is an abundant number, since it is smaller than the sum of its proper divisors (32901099712320).

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

11385472217280 is a wasteful number, since it uses less digits than its factorization.

11385472217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 11385472217280 in words is "eleven trillion, three hundred eighty-five billion, four hundred seventy-two million, two hundred seventeen thousand, two hundred eighty".