48225202200 has 1152 divisors, whose sum is σ = 208850918400. Its totient is φ = 10160640000.

The previous prime is 48225202189. The next prime is 48225202219. The reversal of 48225202200 is 220252284.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 319372125 + ... + 319372275.

It is an arithmetic number, because the mean of its divisors is an integer number (181294200).

Almost surely, 2^48225202200 is an apocalyptic number.

48225202200 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 48225202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104425459200).

48225202200 is an abundant number, since it is smaller than the sum of its proper divisors (160625716200).

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

48225202200 is a wasteful number, since it uses less digits than its factorization.

48225202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 48225202200 its reverse (220252284), we get a palindrome (48445454484).

The spelling of 48225202200 in words is "forty-eight billion, two hundred twenty-five million, two hundred two thousand, two hundred".