10530187200 has 378 divisors, whose sum is σ = 40536580344. Its totient is φ = 2591447040.

The previous prime is 10530187177. The next prime is 10530187223. The reversal of 10530187200 is 278103501.

It is an interprime number because it is at equal distance from previous prime (10530187177) and next prime (10530187223).

It is a super-2 number, since 2×10530187200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2431437 + ... + 2435763.

Almost surely, 2^10530187200 is an apocalyptic number.

10530187200 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 10530187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20268290172).

10530187200 is an abundant number, since it is smaller than the sum of its proper divisors (30006393144).

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

10530187200 is a wasteful number, since it uses less digits than its factorization.

10530187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10530187200 in words is "ten billion, five hundred thirty million, one hundred eighty-seven thousand, two hundred".