10223145732880 has 40 divisors (see below), whose sum is σ = 23801872118400. Its totient is φ = 4083570845568.

The previous prime is 10223145732871. The next prime is 10223145732881. The reversal of 10223145732880 is 8823754132201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10223145732880.

It is not an unprimeable number, because it can be changed into a prime (10223145732881) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 88808490 + ... + 88923529.

It is an arithmetic number, because the mean of its divisors is an integer number (595046802960).

Almost surely, 2^{10223145732880} is an apocalyptic number.

10223145732880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223145732880 is an abundant number, since it is smaller than the sum of its proper divisors (13578726385520).

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

10223145732880 is a wasteful number, since it uses less digits than its factorization.

10223145732880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177732751 (or 177732745 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 10223145732880 in words is "ten trillion, two hundred twenty-three billion, one hundred forty-five million, seven hundred thirty-two thousand, eight hundred eighty".