385586365560 has 256 divisors, whose sum is σ = 1350117158400. Its totient is φ = 87103641600.

The previous prime is 385586365523. The next prime is 385586365561. The reversal of 385586365560 is 65563685583.

It is a super-2 number, since 2×385586365560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 385586365494 and 385586365503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385586365561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403862 + ... + 1655898.

It is an arithmetic number, because the mean of its divisors is an integer number (5273895150).

Almost surely, 2^385586365560 is an apocalyptic number.

385586365560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385586365560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675058579200).

385586365560 is an abundant number, since it is smaller than the sum of its proper divisors (964530792840).

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

385586365560 is a wasteful number, since it uses less digits than its factorization.

385586365560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252142 (or 252138 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 60.

The spelling of 385586365560 in words is "three hundred eighty-five billion, five hundred eighty-six million, three hundred sixty-five thousand, five hundred sixty".