385182151200 has 2880 divisors, whose sum is σ = 1960074547200. Its totient is φ = 71066419200.

The previous prime is 385182151153. The next prime is 385182151201. The reversal of 385182151200 is 2151281583.

385182151200 is a `hidden beast` number, since 3 + 8 + 518 + 2 + 15 + 120 + 0 = 666.

It is a super-2 number, since 2×385182151200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (385182151201) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 1611640681 + ... + 1611640919.

It is an arithmetic number, because the mean of its divisors is an integer number (680581440).

Almost surely, 2^385182151200 is an apocalyptic number.

385182151200 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 385182151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980037273600).

385182151200 is an abundant number, since it is smaller than the sum of its proper divisors (1574892396000).

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

385182151200 is a wasteful number, since it uses less digits than its factorization.

385182151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 385182151200 in words is "three hundred eighty-five billion, one hundred eighty-two million, one hundred fifty-one thousand, two hundred".