48819724800 has 1440 divisors, whose sum is σ = 215952844800. Its totient is φ = 9488793600.

The previous prime is 48819724787. The next prime is 48819724829. The reversal of 48819724800 is 842791884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 617971161 + ... + 617971239.

Almost surely, 2^48819724800 is an apocalyptic number.

48819724800 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 48819724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107976422400).

48819724800 is an abundant number, since it is smaller than the sum of its proper divisors (167133120000).

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

48819724800 is a wasteful number, since it uses less digits than its factorization.

48819724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 48819724800 in words is "forty-eight billion, eight hundred nineteen million, seven hundred twenty-four thousand, eight hundred".