48804084000 has 576 divisors, whose sum is σ = 208388194560. Its totient is φ = 10567065600.

The previous prime is 48804083987. The next prime is 48804084001. The reversal of 48804084000 is 48040884.

48804084000 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 a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (48804084001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4782904 + ... + 4793096.

It is an arithmetic number, because the mean of its divisors is an integer number (361785060).

Almost surely, 2^48804084000 is an apocalyptic number.

48804084000 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 48804084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104194097280).

48804084000 is an abundant number, since it is smaller than the sum of its proper divisors (159584110560).

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

48804084000 is a wasteful number, since it uses less digits than its factorization.

48804084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 48804084000 in words is "forty-eight billion, eight hundred four million, eighty-four thousand".