48115123200 has 528 divisors, whose sum is σ = 178248174720. Its totient is φ = 12718080000.

The previous prime is 48115123183. The next prime is 48115123213. The reversal of 48115123200 is 232151184.

48115123200 is a `hidden beast` number, since 481 + 151 + 2 + 32 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104370970 + ... + 104371430.

It is an arithmetic number, because the mean of its divisors is an integer number (337591240).

Almost surely, 2^48115123200 is an apocalyptic number.

48115123200 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 48115123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89124087360).

48115123200 is an abundant number, since it is smaller than the sum of its proper divisors (130133051520).

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

48115123200 is a wasteful number, since it uses less digits than its factorization.

48115123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 48115123200 its reverse (232151184), we get a palindrome (48347274384).

The spelling of 48115123200 in words is "forty-eight billion, one hundred fifteen million, one hundred twenty-three thousand, two hundred".