10240325503200 has 432 divisors, whose sum is σ = 39148680261600. Its totient is φ = 2503774679040.

The previous prime is 10240325503189. The next prime is 10240325503201. The reversal of 10240325503200 is 230552304201.

It is a happy number.

10240325503200 is a `hidden beast` number, since 1 + 0 + 2 + 403 + 2 + 5 + 50 + 3 + 200 = 666.

It is a super-2 number, since 2×10240325503200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240325503201) 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, 13579269 + ... + 14313531.

It is an arithmetic number, because the mean of its divisors is an integer number (90621945050).

Almost surely, 2^{10240325503200} is an apocalyptic number.

10240325503200 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 10240325503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19574340130800).

10240325503200 is an abundant number, since it is smaller than the sum of its proper divisors (28908354758400).

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

10240325503200 is a wasteful number, since it uses less digits than its factorization.

10240325503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734451 (or 734435 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10240325503200 its reverse (230552304201), we get a palindrome (10470877807401).

The spelling of 10240325503200 in words is "ten trillion, two hundred forty billion, three hundred twenty-five million, five hundred three thousand, two hundred".