10288450624 has 63 divisors (see below), whose sum is σ = 21147679701. Its totient is φ = 4966110720.

The previous prime is 10288450591. The next prime is 10288450631. The reversal of 10288450624 is 42605488201.

It is a happy number.

The square root of 10288450624 is 101432.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9402793024 + 885657600 = 96968^2 + 29760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25154932 + ... + 25155340.

Almost surely, 2^10288450624 is an apocalyptic number.

10288450624 is the 101432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10288450624

10288450624 is an abundant number, since it is smaller than the sum of its proper divisors (10859229077).

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

10288450624 is an frugal number, since it uses more digits than its factorization.

10288450624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 10288450624 in words is "ten billion, two hundred eighty-eight million, four hundred fifty thousand, six hundred twenty-four".