48540265200 has 960 divisors, whose sum is σ = 212557824000. Its totient is φ = 10273029120.

The previous prime is 48540265177. The next prime is 48540265229. The reversal of 48540265200 is 256204584.

It is a happy number.

48540265200 is a `hidden beast` number, since 48 + 5 + 402 + 6 + 5 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67510441 + ... + 67511159.

It is an arithmetic number, because the mean of its divisors is an integer number (221414400).

Almost surely, 2^48540265200 is an apocalyptic number.

48540265200 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 48540265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106278912000).

48540265200 is an abundant number, since it is smaller than the sum of its proper divisors (164017558800).

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

48540265200 is a wasteful number, since it uses less digits than its factorization.

48540265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 48540265200 its reverse (256204584), we get a palindrome (48796469784).

The spelling of 48540265200 in words is "forty-eight billion, five hundred forty million, two hundred sixty-five thousand, two hundred".