385960388329152 has 2688 divisors, whose sum is σ = 1550620505161728. Its totient is φ = 92274071961600.

The previous prime is 385960388329141. The next prime is 385960388329171. The reversal of 385960388329152 is 251923883069583.

385960388329152 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 60 + 388 + 32 + 9 + 152 = 666.

It is a super-2 number, since 2×385960388329152² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 173777751402 + ... + 173777753622.

It is an arithmetic number, because the mean of its divisors is an integer number (576867747456).

Almost surely, 2^{385960388329152} is an apocalyptic number.

385960388329152 is a gapful number since it is divisible by the number (32) 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 385960388329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775310252580864).

385960388329152 is an abundant number, since it is smaller than the sum of its proper divisors (1164660116832576).

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

385960388329152 is a wasteful number, since it uses less digits than its factorization.

385960388329152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 385960388329152 in words is "three hundred eighty-five trillion, nine hundred sixty billion, three hundred eighty-eight million, three hundred twenty-nine thousand, one hundred fifty-two".