385166391667200 has 3840 divisors, whose sum is σ = 1692342883123200. Its totient is φ = 84577399603200.

The previous prime is 385166391667199. The next prime is 385166391667219. The reversal of 385166391667200 is 2766193661583.

385166391667200 is a `hidden beast` number, since 3 + 8 + 5 + 166 + 391 + 6 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 684132134119 + ... + 684132134681.

It is an arithmetic number, because the mean of its divisors is an integer number (440714292480).

Almost surely, 2^{385166391667200} is an apocalyptic number.

385166391667200 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 385166391667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846171441561600).

385166391667200 is an abundant number, since it is smaller than the sum of its proper divisors (1307176491456000).

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

385166391667200 is a wasteful number, since it uses less digits than its factorization.

385166391667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 385166391667200 in words is "three hundred eighty-five trillion, one hundred sixty-six billion, three hundred ninety-one million, six hundred sixty-seven thousand, two hundred".