11277323226400 has 648 divisors, whose sum is σ = 35698539397248. Its totient is φ = 3465399168000.

The previous prime is 11277323226397. The next prime is 11277323226439. The reversal of 11277323226400 is 462232377211.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 336750457 + ... + 336783943.

It is an arithmetic number, because the mean of its divisors is an integer number (55090338576).

Almost surely, 2^{11277323226400} is an apocalyptic number.

11277323226400 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 11277323226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849269698624).

11277323226400 is an abundant number, since it is smaller than the sum of its proper divisors (24421216170848).

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

11277323226400 is a wasteful number, since it uses less digits than its factorization.

11277323226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33614 (or 33583 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 11277323226400 in words is "eleven trillion, two hundred seventy-seven billion, three hundred twenty-three million, two hundred twenty-six thousand, four hundred".