385959109536 has 1152 divisors, whose sum is σ = 1601967144960. Its totient is φ = 84801945600.

The previous prime is 385959109511. The next prime is 385959109583. The reversal of 385959109536 is 635901959583.

385959109536 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 5 + 91 + 0 + 9 + 536 = 666.

385959109536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×385959109536² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169800496 + ... + 169802768.

It is an arithmetic number, because the mean of its divisors is an integer number (1390596480).

Almost surely, 2^385959109536 is an apocalyptic number.

385959109536 is a gapful number since it is divisible by the number (36) 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 385959109536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800983572480).

385959109536 is an abundant number, since it is smaller than the sum of its proper divisors (1216008035424).

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

385959109536 is a wasteful number, since it uses less digits than its factorization.

385959109536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 39366000, while the sum is 63.

The spelling of 385959109536 in words is "three hundred eighty-five billion, nine hundred fifty-nine million, one hundred nine thousand, five hundred thirty-six".