10504610064 has 315 divisors, whose sum is σ = 33501782367. Its totient is φ = 3187911168.

The previous prime is 10504609957. The next prime is 10504610069. The reversal of 10504610064 is 46001640501.

The square root of 10504610064 is 102492.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1056770064 + 9447840000 = 32508^2 + 97200^2 .

It is a super-2 number, since 2×10504610064² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10504610069) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 143898732 + ... + 143898804.

Almost surely, 2^10504610064 is an apocalyptic number.

10504610064 is the 102492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10504610064

10504610064 is an abundant number, since it is smaller than the sum of its proper divisors (22997172303).

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

10504610064 is an frugal number, since it uses more digits than its factorization.

10504610064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10504610064 in words is "ten billion, five hundred four million, six hundred ten thousand, sixty-four".