385903792512000 has 3520 divisors, whose sum is σ = 1711387659421440. Its totient is φ = 84610842624000.

The previous prime is 385903792511981. The next prime is 385903792512037. The reversal of 385903792512000 is 215297309583.

385903792512000 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 0 + 37 + 92 + 512 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 380951423494 + ... + 380951424506.

It is an arithmetic number, because the mean of its divisors is an integer number (486189675972).

Almost surely, 2^{385903792512000} is an apocalyptic number.

385903792512000 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 385903792512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855693829710720).

385903792512000 is an abundant number, since it is smaller than the sum of its proper divisors (1325483866909440).

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

385903792512000 is a wasteful number, since it uses less digits than its factorization.

385903792512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 385903792512000 in words is "three hundred eighty-five trillion, nine hundred three billion, seven hundred ninety-two million, five hundred twelve thousand".