4748475251520 has 5376 divisors, whose sum is σ = 24844525977600. Its totient is φ = 827714764800.

The previous prime is 4748475251447. The next prime is 4748475251581. The reversal of 4748475251520 is 251525748474.

4748475251520 is a `hidden beast` number, since 4 + 7 + 4 + 84 + 7 + 525 + 15 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 66879933085 + ... + 66879933155.

It is an arithmetic number, because the mean of its divisors is an integer number (4621377600).

Almost surely, 2^{4748475251520} is an apocalyptic number.

4748475251520 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 4748475251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422262988800).

4748475251520 is an abundant number, since it is smaller than the sum of its proper divisors (20096050726080).

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

4748475251520 is a wasteful number, since it uses less digits than its factorization.

4748475251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 54.

The spelling of 4748475251520 in words is "four trillion, seven hundred forty-eight billion, four hundred seventy-five million, two hundred fifty-one thousand, five hundred twenty".