385059218248800 has 864 divisors, whose sum is σ = 1425249051722496. Its totient is φ = 97696088064000.

The previous prime is 385059218248763. The next prime is 385059218248813. The reversal of 385059218248800 is 8842812950583.

385059218248800 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 59 + 21 + 82 + 488 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37482640464 + ... + 37482650736.

It is an arithmetic number, because the mean of its divisors is an integer number (1649593809864).

Almost surely, 2^{385059218248800} is an apocalyptic number.

385059218248800 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 385059218248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712624525861248).

385059218248800 is an abundant number, since it is smaller than the sum of its proper divisors (1040189833473696).

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

385059218248800 is a wasteful number, since it uses less digits than its factorization.

385059218248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13144 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 385059218248800 in words is "three hundred eighty-five trillion, fifty-nine billion, two hundred eighteen million, two hundred forty-eight thousand, eight hundred".