10075221504 has 320 divisors, whose sum is σ = 31819392000. Its totient is φ = 3138600960.

The previous prime is 10075221503. The next prime is 10075221521. The reversal of 10075221504 is 40512257001.

10075221504 is a `hidden beast` number, since 100 + 7 + 52 + 2 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075221503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23376169 + ... + 23376599.

It is an arithmetic number, because the mean of its divisors is an integer number (99435600).

Almost surely, 2^10075221504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10075221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696000).

10075221504 is an abundant number, since it is smaller than the sum of its proper divisors (21744170496).

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

10075221504 is an equidigital number, since it uses as much as digits as its factorization.

10075221504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 10075221504 its reverse (40512257001), we get a palindrome (50587478505).

The spelling of 10075221504 in words is "ten billion, seventy-five million, two hundred twenty-one thousand, five hundred four".