48003628170960 has 1920 divisors, whose sum is σ = 223109053440000. Its totient is φ = 9449456163840.

The previous prime is 48003628170943. The next prime is 48003628170961. The reversal of 48003628170960 is 6907182630084.

48003628170960 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 3 + 628 + 1 + 7 + 0 + 9 + 6 + 0 = 666.

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 = 48003628170897 and 48003628170906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48003628170961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1703269029 + ... + 1703297211.

It is an arithmetic number, because the mean of its divisors is an integer number (116202632000).

Almost surely, 2^{48003628170960} is an apocalyptic number.

48003628170960 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 48003628170960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111554526720000).

48003628170960 is an abundant number, since it is smaller than the sum of its proper divisors (175105425269040).

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

48003628170960 is a wasteful number, since it uses less digits than its factorization.

48003628170960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28267 (or 28230 counting only the distinct ones).

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

The spelling of 48003628170960 in words is "forty-eight trillion, three billion, six hundred twenty-eight million, one hundred seventy thousand, nine hundred sixty".