4652003505200 has 120 divisors (see below), whose sum is σ = 11543679240576. Its totient is φ = 1799728128000.

The previous prime is 4652003505197. The next prime is 4652003505251. The reversal of 4652003505200 is 25053002564.

It is a super-2 number, since 2×4652003505200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21380960 + ... + 21597440.

Almost surely, 2^{4652003505200} is an apocalyptic number.

4652003505200 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 4652003505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771839620288).

4652003505200 is an abundant number, since it is smaller than the sum of its proper divisors (6891675735376).

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

4652003505200 is a wasteful number, since it uses less digits than its factorization.

4652003505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218263 (or 218252 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 4652003505200 its reverse (25053002564), we get a palindrome (4677056507764).

The spelling of 4652003505200 in words is "four trillion, six hundred fifty-two billion, three million, five hundred five thousand, two hundred".