48325363531200 has 756 divisors, whose sum is σ = 204675506616672. Its totient is φ = 10776381235200.

The previous prime is 48325363531199. The next prime is 48325363531223. The reversal of 48325363531200 is 213536352384.

48325363531200 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 5 + 3 + 635 + 3 + 1 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28094377 + ... + 29764823.

It is an arithmetic number, because the mean of its divisors is an integer number (270734797112).

Almost surely, 2^{48325363531200} is an apocalyptic number.

48325363531200 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 48325363531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102337753308336).

48325363531200 is an abundant number, since it is smaller than the sum of its proper divisors (156350143085472).

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

48325363531200 is a wasteful number, since it uses less digits than its factorization.

48325363531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670530 (or 1670505 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 48325363531200 its reverse (213536352384), we get a palindrome (48538899883584).

The spelling of 48325363531200 in words is "forty-eight trillion, three hundred twenty-five billion, three hundred sixty-three million, five hundred thirty-one thousand, two hundred".