48787063344000 has 1536 divisors, whose sum is σ = 192043124582400. Its totient is φ = 12274633728000.

The previous prime is 48787063343983. The next prime is 48787063344007. The reversal of 48787063344000 is 44336078784.

48787063344000 is a `hidden beast` number, since 4 + 8 + 78 + 70 + 63 + 3 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48787063344007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20019310782 + ... + 20019313218.

It is an arithmetic number, because the mean of its divisors is an integer number (125028075900).

Almost surely, 2^{48787063344000} is an apocalyptic number.

48787063344000 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 48787063344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96021562291200).

48787063344000 is an abundant number, since it is smaller than the sum of its proper divisors (143256061238400).

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

48787063344000 is a wasteful number, since it uses less digits than its factorization.

48787063344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 48787063344000 in words is "forty-eight trillion, seven hundred eighty-seven billion, sixty-three million, three hundred forty-four thousand".