10530210332400 has 480 divisors, whose sum is σ = 38974363481088. Its totient is φ = 2401908326400.

The previous prime is 10530210332267. The next prime is 10530210332489. The reversal of 10530210332400 is 423301203501.

10530210332400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10530210332400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1362777337 + ... + 1362785063.

Almost surely, 2^{10530210332400} is an apocalyptic number.

10530210332400 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 10530210332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19487181740544).

10530210332400 is an abundant number, since it is smaller than the sum of its proper divisors (28444153148688).

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

10530210332400 is a wasteful number, since it uses less digits than its factorization.

10530210332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13849 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10530210332400 its reverse (423301203501), we get a palindrome (10953511535901).

The spelling of 10530210332400 in words is "ten trillion, five hundred thirty billion, two hundred ten million, three hundred thirty-two thousand, four hundred".