48259411200 has 2592 divisors, whose sum is σ = 247989460992. Its totient is φ = 8957952000.

The previous prime is 48259411199. The next prime is 48259411243. The reversal of 48259411200 is 211495284.

48259411200 is a `hidden beast` number, since 48 + 2 + 594 + 1 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1556755185 + ... + 1556755215.

Almost surely, 2^48259411200 is an apocalyptic number.

48259411200 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 48259411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123994730496).

48259411200 is an abundant number, since it is smaller than the sum of its proper divisors (199730049792).

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

48259411200 is a wasteful number, since it uses less digits than its factorization.

48259411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 48259411200 in words is "forty-eight billion, two hundred fifty-nine million, four hundred eleven thousand, two hundred".