385542865260 has 360 divisors, whose sum is σ = 1411013640960. Its totient is φ = 87868053504.

The previous prime is 385542865229. The next prime is 385542865261. The reversal of 385542865260 is 62568245583.

385542865260 is a `hidden beast` number, since 3 + 8 + 554 + 2 + 8 + 65 + 26 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 385542865197 and 385542865206.

It is not an unprimeable number, because it can be changed into a prime (385542865261) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28014261 + ... + 28028019.

It is an arithmetic number, because the mean of its divisors is an integer number (3919482336).

Almost surely, 2^385542865260 is an apocalyptic number.

385542865260 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 385542865260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705506820480).

385542865260 is an abundant number, since it is smaller than the sum of its proper divisors (1025470775700).

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

385542865260 is a wasteful number, since it uses less digits than its factorization.

385542865260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14147 (or 14129 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 385542865260 in words is "three hundred eighty-five billion, five hundred forty-two million, eight hundred sixty-five thousand, two hundred sixty".