11965226470400 has 1584 divisors, whose sum is σ = 39084963402240. Its totient is φ = 3535405056000.

The previous prime is 11965226470391. The next prime is 11965226470433. The reversal of 11965226470400 is 407462256911.

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 143 ways as a sum of consecutive naturals, for example, 79239910325 + ... + 79239910475.

Almost surely, 2^{11965226470400} is an apocalyptic number.

11965226470400 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 11965226470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19542481701120).

11965226470400 is an abundant number, since it is smaller than the sum of its proper divisors (27119736931840).

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

11965226470400 is a wasteful number, since it uses less digits than its factorization.

11965226470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 11965226470400 in words is "eleven trillion, nine hundred sixty-five billion, two hundred twenty-six million, four hundred seventy thousand, four hundred".