48048487200 has 1728 divisors, whose sum is σ = 222753742848. Its totient is φ = 9853747200.

The previous prime is 48048487187. The next prime is 48048487211. The reversal of 48048487200 is 278484084.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 717141567 + ... + 717141633.

It is an arithmetic number, because the mean of its divisors is an integer number (128908416).

Almost surely, 2^48048487200 is an apocalyptic number.

48048487200 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 48048487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111376871424).

48048487200 is an abundant number, since it is smaller than the sum of its proper divisors (174705255648).

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

48048487200 is a wasteful number, since it uses less digits than its factorization.

48048487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 48048487200 in words is "forty-eight billion, forty-eight million, four hundred eighty-seven thousand, two hundred".