385204145356800 has 5520 divisors, whose sum is σ = 1933250448814080. Its totient is φ = 73383542784000.

The previous prime is 385204145356799. The next prime is 385204145356837. The reversal of 385204145356800 is 8653541402583.

385204145356800 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 0 + 41 + 4 + 535 + 68 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12425940172785 + ... + 12425940172815.

Almost surely, 2^{385204145356800} is an apocalyptic number.

385204145356800 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 385204145356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966625224407040).

385204145356800 is an abundant number, since it is smaller than the sum of its proper divisors (1548046303457280).

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

385204145356800 is an frugal number, since it uses more digits than its factorization.

385204145356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 78 counting only the distinct ones).

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

The spelling of 385204145356800 in words is "three hundred eighty-five trillion, two hundred four billion, one hundred forty-five million, three hundred fifty-six thousand, eight hundred".