10516204800 has 648 divisors, whose sum is σ = 39682465368. Its totient is φ = 2654208000.

The previous prime is 10516204789. The next prime is 10516204801. The reversal of 10516204800 is 840261501.

It can be written as a sum of positive squares in 12 ways, for example, as 8221411584 + 2294793216 = 90672^2 + 47904^2 .

It is a super-2 number, since 2×10516204800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516204801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144057564 + ... + 144057636.

Almost surely, 2^10516204800 is an apocalyptic number.

10516204800 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 10516204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841232684).

10516204800 is an abundant number, since it is smaller than the sum of its proper divisors (29166260568).

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

10516204800 is a wasteful number, since it uses less digits than its factorization.

10516204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10516204800 in words is "ten billion, five hundred sixteen million, two hundred four thousand, eight hundred".