56305533550365 has 512 divisors, whose sum is σ = 118604947507200. Its totient is φ = 25042133975040.

The previous prime is 56305533550363. The next prime is 56305533550367.

56305533550365 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 5 + 53 + 3 + 550 + 36 + 5 = 666.

56305533550365 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (56305533550363) and next prime (56305533550367).

It is not a de Polignac number, because 56305533550365 - 2¹ = 56305533550363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56305533550363) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 51514668759 + ... + 51514669851.

It is an arithmetic number, because the mean of its divisors is an integer number (231650288100).

Almost surely, 2^{56305533550365} is an apocalyptic number.

56305533550365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56305533550365 is an abundant number, since it is smaller than the sum of its proper divisors (62299413956835).

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

56305533550365 is a wasteful number, since it uses less digits than its factorization.

56305533550365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 45562500, while the sum is 54.

The spelling of 56305533550365 in words is "fifty-six trillion, three hundred five billion, five hundred thirty-three million, five hundred fifty thousand, three hundred sixty-five".