48852001800 has 384 divisors, whose sum is σ = 194025081600. Its totient is φ = 11066388480.

The previous prime is 48852001787. The next prime is 48852001811. The reversal of 48852001800 is 810025884.

48852001800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4265682 + ... + 4277118.

It is an arithmetic number, because the mean of its divisors is an integer number (505273650).

Almost surely, 2^48852001800 is an apocalyptic number.

48852001800 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 48852001800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97012540800).

48852001800 is an abundant number, since it is smaller than the sum of its proper divisors (145173079800).

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

48852001800 is a wasteful number, since it uses less digits than its factorization.

48852001800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11582 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 48852001800 in words is "forty-eight billion, eight hundred fifty-two million, one thousand, eight hundred".