10002027520 has 88 divisors (see below), whose sum is σ = 25404727464. Its totient is φ = 3765436416.

The previous prime is 10002027509. The next prime is 10002027521. The reversal of 10002027520 is 2572020001.

It can be written as a sum of positive squares in 4 ways, for example, as 1496761344 + 8505266176 = 38688^2 + 92224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002027521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29584 + ... + 144496.

Almost surely, 2^10002027520 is an apocalyptic number.

10002027520 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 10002027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702363732).

10002027520 is an abundant number, since it is smaller than the sum of its proper divisors (15402699944).

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

10002027520 is a wasteful number, since it uses less digits than its factorization.

10002027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114955 (or 114937 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

Adding to 10002027520 its reverse (2572020001), we get a palindrome (12574047521).

The spelling of 10002027520 in words is "ten billion, two million, twenty-seven thousand, five hundred twenty".