5209478680455 has 96 divisors (see below), whose sum is σ = 10863692835840. Its totient is φ = 2255964825600.

The previous prime is 5209478680421. The next prime is 5209478680507. The reversal of 5209478680455 is 5540868749025.

5209478680455 is a `hidden beast` number, since 5 + 20 + 9 + 4 + 7 + 86 + 80 + 455 = 666.

It is not a de Polignac number, because 5209478680455 - 2³⁰ = 5208404938631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5209478680392 and 5209478680401.

It is a congruent number.

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, 110106334 + ... + 110153636.

It is an arithmetic number, because the mean of its divisors is an integer number (113163467040).

Almost surely, 2^{5209478680455} is an apocalyptic number.

5209478680455 is an abundant number, since it is smaller than the sum of its proper divisors (5654214155385).

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

5209478680455 is a wasteful number, since it uses less digits than its factorization.

5209478680455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65741 (or 65738 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 5209478680455 in words is "five trillion, two hundred nine billion, four hundred seventy-eight million, six hundred eighty thousand, four hundred fifty-five".