4807578250200 has 384 divisors, whose sum is σ = 17496962979840. Its totient is φ = 1078932480000.

The previous prime is 4807578250187. The next prime is 4807578250201. The reversal of 4807578250200 is 20528757084.

It is a super-3 number, since 3×4807578250200³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4807578250200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4807578250201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6492985 + ... + 7195415.

It is an arithmetic number, because the mean of its divisors is an integer number (45565007760).

Almost surely, 2^{4807578250200} is an apocalyptic number.

4807578250200 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 4807578250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8748481489920).

4807578250200 is an abundant number, since it is smaller than the sum of its proper divisors (12689384729640).

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

4807578250200 is a wasteful number, since it uses less digits than its factorization.

4807578250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702539 (or 702530 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The spelling of 4807578250200 in words is "four trillion, eight hundred seven billion, five hundred seventy-eight million, two hundred fifty thousand, two hundred".