385893759968640 has 4608 divisors, whose sum is σ = 1818532814192640. Its totient is φ = 76506135552000.

The previous prime is 385893759968611. The next prime is 385893759968659. The reversal of 385893759968640 is 46869957398583.

385893759968640 is a `hidden beast` number, since 3 + 8 + 5 + 8 + 9 + 3 + 7 + 599 + 6 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5435123379805 + ... + 5435123379875.

It is an arithmetic number, because the mean of its divisors is an integer number (394646878080).

Almost surely, 2^{385893759968640} is an apocalyptic number.

385893759968640 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 385893759968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909266407096320).

385893759968640 is an abundant number, since it is smaller than the sum of its proper divisors (1432639054224000).

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

385893759968640 is an frugal number, since it uses more digits than its factorization.

385893759968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 84652646400, while the sum is 90.

The spelling of 385893759968640 in words is "three hundred eighty-five trillion, eight hundred ninety-three billion, seven hundred fifty-nine million, nine hundred sixty-eight thousand, six hundred forty".