10500401152 has 144 divisors (see below), whose sum is σ = 22644055980. Its totient is φ = 4866441216.

The previous prime is 10500401143. The next prime is 10500401183. The reversal of 10500401152 is 25110400501.

It can be written as a sum of positive squares in 6 ways, for example, as 3826164736 + 6674236416 = 61856^2 + 81696^2 .

It is a super-2 number, since 2×10500401152² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66881458 + ... + 66881614.

Almost surely, 2^10500401152 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 10500401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322027990).

10500401152 is an abundant number, since it is smaller than the sum of its proper divisors (12143654828).

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

10500401152 is a wasteful number, since it uses less digits than its factorization.

10500401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 10500401152 its reverse (25110400501), we get a palindrome (35610801653).

The spelling of 10500401152 in words is "ten billion, five hundred million, four hundred one thousand, one hundred fifty-two".