48513024000 has 864 divisors, whose sum is σ = 204144385536. Its totient is φ = 10852761600.

The previous prime is 48513023989. The next prime is 48513024089. The reversal of 48513024000 is 42031584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032191977 + ... + 1032192023.

It is an arithmetic number, because the mean of its divisors is an integer number (236278224).

Almost surely, 2^48513024000 is an apocalyptic number.

48513024000 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 48513024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102072192768).

48513024000 is an abundant number, since it is smaller than the sum of its proper divisors (155631361536).

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

48513024000 is an frugal number, since it uses more digits than its factorization.

48513024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 48513024000 its reverse (42031584), we get a palindrome (48555055584).

The spelling of 48513024000 in words is "forty-eight billion, five hundred thirteen million, twenty-four thousand".