57048286884480 has 640 divisors, whose sum is σ = 215951627232000. Its totient is φ = 14302218387456.

The previous prime is 57048286884461. The next prime is 57048286884503. The reversal of 57048286884480 is 8448868284075.

57048286884480 is a `hidden beast` number, since 5 + 7 + 0 + 4 + 8 + 2 + 8 + 68 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57048286884399 and 57048286884408.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 809861101 + ... + 809931539.

It is an arithmetic number, because the mean of its divisors is an integer number (337424417550).

Almost surely, 2^{57048286884480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57048286884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107975813616000).

57048286884480 is an abundant number, since it is smaller than the sum of its proper divisors (158903340347520).

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

57048286884480 is a wasteful number, since it uses less digits than its factorization.

57048286884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71406 (or 71385 counting only the distinct ones).

The product of its (nonzero) digits is 880803840, while the sum is 72.

The spelling of 57048286884480 in words is "fifty-seven trillion, forty-eight billion, two hundred eighty-six million, eight hundred eighty-four thousand, four hundred eighty".