480537107675505 has 96 divisors (see below), whose sum is σ = 837109955784960. Its totient is φ = 255003993699840.

The previous prime is 480537107675473. The next prime is 480537107675567. The reversal of 480537107675505 is 505576701735084.

480537107675505 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 3 + 7 + 1 + 0 + 76 + 7 + 550 + 5 = 666.

It is not a de Polignac number, because 480537107675505 - 2⁵ = 480537107675473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18938902999 + ... + 18938928371.

It is an arithmetic number, because the mean of its divisors is an integer number (8719895372760).

Almost surely, 2^{480537107675505} is an apocalyptic number.

480537107675505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480537107675505 is a deficient number, since it is larger than the sum of its proper divisors (356572848109455).

480537107675505 is a wasteful number, since it uses less digits than its factorization.

480537107675505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28071 (or 28068 counting only the distinct ones).

The product of its (nonzero) digits is 123480000, while the sum is 63.

The spelling of 480537107675505 in words is "four hundred eighty trillion, five hundred thirty-seven billion, one hundred seven million, six hundred seventy-five thousand, five hundred five".