480883001012757 has 72 divisors (see below), whose sum is σ = 835710603139776. Its totient is φ = 270688934438208.

The previous prime is 480883001012753. The next prime is 480883001012879. The reversal of 480883001012757 is 757210100388084.

480883001012757 is a `hidden beast` number, since 4 + 80 + 88 + 300 + 10 + 127 + 57 = 666.

It is not a de Polignac number, because 480883001012757 - 2² = 480883001012753 is a prime.

It is a super-3 number, since 3×480883001012757³ (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 (480883001012753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23852968 + ... + 39124545.

Almost surely, 2^{480883001012757} is an apocalyptic number.

It is an amenable number.

480883001012757 is a deficient number, since it is larger than the sum of its proper divisors (354827602127019).

480883001012757 is an frugal number, since it uses more digits than its factorization.

480883001012757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62977669 (or 62977590 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 480883001012757 in words is "four hundred eighty trillion, eight hundred eighty-three billion, one million, twelve thousand, seven hundred fifty-seven".