385210493325504 has 5040 divisors, whose sum is σ = 1607519287148544. Its totient is φ = 90070415769600.

The previous prime is 385210493325491. The next prime is 385210493325571. The reversal of 385210493325504 is 405523394012583.

385210493325504 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 10 + 4 + 93 + 32 + 5 + 504 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 3033153490689 + ... + 3033153490815.

Almost surely, 2^{385210493325504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385210493325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803759643574272).

385210493325504 is an abundant number, since it is smaller than the sum of its proper divisors (1222308793823040).

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

385210493325504 is a wasteful number, since it uses less digits than its factorization.

385210493325504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 385210493325504 in words is "three hundred eighty-five trillion, two hundred ten billion, four hundred ninety-three million, three hundred twenty-five thousand, five hundred four".