385767360000 has 1800 divisors, whose sum is σ = 1624534663752. Its totient is φ = 91238400000.

The previous prime is 385767359987. The next prime is 385767360001. The reversal of 385767360000 is 63767583.

385767360000 is a `hidden beast` number, since 3 + 8 + 576 + 73 + 6 + 0 + 0 + 0 + 0 = 666.

385767360000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385767360001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9408959980 + ... + 9408960020.

Almost surely, 2^385767360000 is an apocalyptic number.

385767360000 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 385767360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812267331876).

385767360000 is an abundant number, since it is smaller than the sum of its proper divisors (1238767303752).

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

385767360000 is an frugal number, since it uses more digits than its factorization.

385767360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 385767360000 in words is "three hundred eighty-five billion, seven hundred sixty-seven million, three hundred sixty thousand".