56236766763265 has 48 divisors (see below), whose sum is σ = 76057706292624. Its totient is φ = 39872184168960.

The previous prime is 56236766763241. The next prime is 56236766763313.

56236766763265 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 175727801601 + 56061038961664 = 419199^2 + 7487392^2 .

It is not a de Polignac number, because 56236766763265 - 2⁷ = 56236766763137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56236766763194 and 56236766763203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551262 + ... + 10619671.

It is an arithmetic number, because the mean of its divisors is an integer number (1584535547763).

Almost surely, 2^{56236766763265} is an apocalyptic number.

56236766763265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56236766763265 is a deficient number, since it is larger than the sum of its proper divisors (19820939529359).

56236766763265 is a wasteful number, since it uses less digits than its factorization.

56236766763265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11171170 (or 11171159 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 70.

The spelling of 56236766763265 in words is "fifty-six trillion, two hundred thirty-six billion, seven hundred sixty-six million, seven hundred sixty-three thousand, two hundred sixty-five".