56282766728265 has 144 divisors (see below), whose sum is σ = 129000723196800. Its totient is φ = 22159175132160.

The previous prime is 56282766728257. The next prime is 56282766728267.

56282766728265 is a `hidden beast` number, since 5 + 6 + 28 + 276 + 6 + 72 + 8 + 265 = 666.

56282766728265 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56282766728265 - 2³ = 56282766728257 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56282766728193 and 56282766728202.

It is not an unprimeable number, because it can be changed into a prime (56282766728267) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38135200 + ... + 39583569.

Almost surely, 2^{56282766728265} is an apocalyptic number.

56282766728265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56282766728265 is an abundant number, since it is smaller than the sum of its proper divisors (72717956468535).

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

56282766728265 is a wasteful number, since it uses less digits than its factorization.

56282766728265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77718828 (or 77718814 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 72.

The spelling of 56282766728265 in words is "fifty-six trillion, two hundred eighty-two billion, seven hundred sixty-six million, seven hundred twenty-eight thousand, two hundred sixty-five".