4525120513200 has 480 divisors, whose sum is σ = 17618134224384. Its totient is φ = 969175941120.

The previous prime is 4525120513189. The next prime is 4525120513201. The reversal of 4525120513200 is 23150215254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4525120513201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32345802 + ... + 32485398.

Almost surely, 2^{4525120513200} is an apocalyptic number.

4525120513200 is a gapful number since it is divisible by the number (40) 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 4525120513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809067112192).

4525120513200 is an abundant number, since it is smaller than the sum of its proper divisors (13093013711184).

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

4525120513200 is a wasteful number, since it uses less digits than its factorization.

4525120513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139869 (or 139858 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 4525120513200 its reverse (23150215254), we get a palindrome (4548270728454).

The spelling of 4525120513200 in words is "four trillion, five hundred twenty-five billion, one hundred twenty million, five hundred thirteen thousand, two hundred".