48576000000 has 728 divisors, whose sum is σ = 184295140992. Its totient is φ = 11264000000.

The previous prime is 48575999987. The next prime is 48576000029. The reversal of 48576000000 is 67584.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2111999989 + ... + 2112000011.

Almost surely, 2^48576000000 is an apocalyptic number.

48576000000 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 48576000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92147570496).

48576000000 is an abundant number, since it is smaller than the sum of its proper divisors (135719140992).

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

48576000000 is an frugal number, since it uses more digits than its factorization.

48576000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 48576000000 its reverse (67584), we get a palindrome (48576067584).

The spelling of 48576000000 in words is "forty-eight billion, five hundred seventy-six million", and thus it is an aban number.