48793268160 has 896 divisors, whose sum is σ = 213564825600. Its totient is φ = 10212065280.

The previous prime is 48793268137. The next prime is 48793268177. The reversal of 48793268160 is 6186239784.

48793268160 is a `hidden beast` number, since 487 + 9 + 3 + 26 + 81 + 60 = 666.

48793268160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 48793268097 and 48793268106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180048825 + ... + 180049095.

It is an arithmetic number, because the mean of its divisors is an integer number (238353600).

Almost surely, 2^48793268160 is an apocalyptic number.

48793268160 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 48793268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106782412800).

48793268160 is an abundant number, since it is smaller than the sum of its proper divisors (164771557440).

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

48793268160 is a wasteful number, since it uses less digits than its factorization.

48793268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48793268160 in words is "forty-eight billion, seven hundred ninety-three million, two hundred sixty-eight thousand, one hundred sixty".