385482978720000 has 900 divisors, whose sum is σ = 1641532774565376. Its totient is φ = 88110374400000.

The previous prime is 385482978719977. The next prime is 385482978720019. The reversal of 385482978720000 is 27879284583.

385482978720000 is a `hidden beast` number, since 3 + 8 + 548 + 2 + 9 + 7 + 87 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 385482978720000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 88595425 + ... + 92844575.

Almost surely, 2^{385482978720000} is an apocalyptic number.

385482978720000 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 385482978720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820766387282688).

385482978720000 is an abundant number, since it is smaller than the sum of its proper divisors (1256049795845376).

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

385482978720000 is an frugal number, since it uses more digits than its factorization.

385482978720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249206 (or 4249168 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 385482978720000 in words is "three hundred eighty-five trillion, four hundred eighty-two billion, nine hundred seventy-eight million, seven hundred twenty thousand".