385992820800 has 672 divisors, whose sum is σ = 1469968713600. Its totient is φ = 98427985920.

The previous prime is 385992820789. The next prime is 385992820861. The reversal of 385992820800 is 8028299583.

385992820800 is a `hidden beast` number, since 3 + 8 + 599 + 28 + 20 + 8 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94303554 + ... + 94307646.

Almost surely, 2^385992820800 is an apocalyptic number.

385992820800 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 385992820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734984356800).

385992820800 is an abundant number, since it is smaller than the sum of its proper divisors (1083975892800).

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

385992820800 is a wasteful number, since it uses less digits than its factorization.

385992820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 385992820800 in words is "three hundred eighty-five billion, nine hundred ninety-two million, eight hundred twenty thousand, eight hundred".