5075571080160 has 480 divisors, whose sum is σ = 21131851732992. Its totient is φ = 1122706344960.

The previous prime is 5075571080131. The next prime is 5075571080219. The reversal of 5075571080160 is 610801755705.

5075571080160 is a `hidden beast` number, since 5 + 0 + 7 + 557 + 1 + 0 + 80 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5075571080160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1909939 + ... + 3714701.

Almost surely, 2^{5075571080160} 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 5075571080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565925866496).

5075571080160 is an abundant number, since it is smaller than the sum of its proper divisors (16056280652832).

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

5075571080160 is a wasteful number, since it uses less digits than its factorization.

5075571080160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804828 (or 1804811 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 5075571080160 in words is "five trillion, seventy-five billion, five hundred seventy-one million, eighty thousand, one hundred sixty".