480824765272557 has 24 divisors (see below), whose sum is σ = 697092859577088. Its totient is φ = 319364539322400.

The previous prime is 480824765272531. The next prime is 480824765272561. The reversal of 480824765272557 is 755272567428084.

480824765272557 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 2 + 4 + 7 + 65 + 2 + 7 + 2 + 557 = 666.

It is not a de Polignac number, because 480824765272557 - 2⁶ = 480824765272493 is a prime.

It is a super-3 number, since 3×480824765272557³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480824765272507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348358963 + ... + 349736495.

It is an arithmetic number, because the mean of its divisors is an integer number (29045535815712).

Almost surely, 2^{480824765272557} is an apocalyptic number.

It is an amenable number.

480824765272557 is a deficient number, since it is larger than the sum of its proper divisors (216268094304531).

480824765272557 is a wasteful number, since it uses less digits than its factorization.

480824765272557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520921 (or 1520918 counting only the distinct ones).

The product of its (nonzero) digits is 2107392000, while the sum is 72.

The spelling of 480824765272557 in words is "four hundred eighty trillion, eight hundred twenty-four billion, seven hundred sixty-five million, two hundred seventy-two thousand, five hundred fifty-seven".