48236905200 has 240 divisors, whose sum is σ = 174005148672. Its totient is φ = 11316480000.

The previous prime is 48236905183. The next prime is 48236905219. The reversal of 48236905200 is 250963284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350260 + ... + 468140.

Almost surely, 2^48236905200 is an apocalyptic number.

48236905200 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 48236905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87002574336).

48236905200 is an abundant number, since it is smaller than the sum of its proper divisors (125768243472).

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

48236905200 is a wasteful number, since it uses less digits than its factorization.

48236905200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117944 (or 117933 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 48236905200 in words is "forty-eight billion, two hundred thirty-six million, nine hundred five thousand, two hundred".