480820211538507 has 12 divisors (see below), whose sum is σ = 695120440749384. Its totient is φ = 320268796577280.

The previous prime is 480820211538347. The next prime is 480820211538529. The reversal of 480820211538507 is 705835112028084.

It is a happy number.

480820211538507 is a `hidden beast` number, since 4 + 8 + 0 + 82 + 0 + 2 + 1 + 1 + 53 + 8 + 507 = 666.

It is not a de Polignac number, because 480820211538507 - 2⁴⁶ = 410451467360843 is a prime.

It is a super-3 number, since 3×480820211538507³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480820211538607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23167581969 + ... + 23167602722.

It is an arithmetic number, because the mean of its divisors is an integer number (57926703395782).

Almost surely, 2^{480820211538507} is an apocalyptic number.

480820211538507 is a deficient number, since it is larger than the sum of its proper divisors (214300229210877).

480820211538507 is a wasteful number, since it uses less digits than its factorization.

480820211538507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46335185850 (or 46335185847 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 480820211538507 in words is "four hundred eighty trillion, eight hundred twenty billion, two hundred eleven million, five hundred thirty-eight thousand, five hundred seven".