10530873600 has 432 divisors, whose sum is σ = 38663192064. Its totient is φ = 2506752000.

The previous prime is 10530873593. The next prime is 10530873607. The reversal of 10530873600 is 637803501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10530873593) and next prime (10530873607).

It is a super-3 number, since 3×10530873600³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10530873607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7736920 + ... + 7738280.

Almost surely, 2^10530873600 is an apocalyptic number.

10530873600 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 10530873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331596032).

10530873600 is an abundant number, since it is smaller than the sum of its proper divisors (28132318464).

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

10530873600 is a wasteful number, since it uses less digits than its factorization.

10530873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 10530873600 in words is "ten billion, five hundred thirty million, eight hundred seventy-three thousand, six hundred".