10530259200 has 756 divisors, whose sum is σ = 40792285828. Its totient is φ = 2687385600.

The previous prime is 10530259199. The next prime is 10530259213. The reversal of 10530259200 is 295203501.

10530259200 is a `hidden beast` number, since 105 + 302 + 59 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 485409024 + 10044850176 = 22032^2 + 100224^2 .

It is a super-2 number, since 2×10530259200² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 172627170 + ... + 172627230.

Almost surely, 2^10530259200 is an apocalyptic number.

10530259200 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 10530259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396142914).

10530259200 is an abundant number, since it is smaller than the sum of its proper divisors (30262026628).

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

10530259200 is an frugal number, since it uses more digits than its factorization.

10530259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 10530259200 in words is "ten billion, five hundred thirty million, two hundred fifty-nine thousand, two hundred".