10229745244320 has 288 divisors, whose sum is σ = 39902765011200. Its totient is φ = 2337831383040.

The previous prime is 10229745244307. The next prime is 10229745244331. The reversal of 10229745244320 is 2344254792201.

10229745244320 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 97 + 4 + 524 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 61616781 + ... + 61782579.

It is an arithmetic number, because the mean of its divisors is an integer number (138551267400).

Almost surely, 2^{10229745244320} is an apocalyptic number.

10229745244320 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 10229745244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951382505600).

10229745244320 is an abundant number, since it is smaller than the sum of its proper divisors (29673019766880).

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

10229745244320 is a wasteful number, since it uses less digits than its factorization.

10229745244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171948 (or 171937 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 10229745244320 in words is "ten trillion, two hundred twenty-nine billion, seven hundred forty-five million, two hundred forty-four thousand, three hundred twenty".