385543271746560 has 704 divisors, whose sum is σ = 1286643209601024. Its totient is φ = 98426526105600.

The previous prime is 385543271746489. The next prime is 385543271746579. The reversal of 385543271746560 is 65647172345583.

It is a super-2 number, since 2×385543271746560² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385543271746491 and 385543271746500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21346719930 + ... + 21346737990.

It is an arithmetic number, because the mean of its divisors is an integer number (1827618195456).

Almost surely, 2^{385543271746560} is an apocalyptic number.

385543271746560 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 385543271746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643321604800512).

385543271746560 is an abundant number, since it is smaller than the sum of its proper divisors (901099937854464).

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

385543271746560 is a wasteful number, since it uses less digits than its factorization.

385543271746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18600 (or 18582 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 66.

The spelling of 385543271746560 in words is "three hundred eighty-five trillion, five hundred forty-three billion, two hundred seventy-one million, seven hundred forty-six thousand, five hundred sixty".