385258291200 has 510 divisors, whose sum is σ = 1427743820184. Its totient is φ = 102700154880.

The previous prime is 385258291129. The next prime is 385258291291. The reversal of 385258291200 is 2192852583.

385258291200 is a `hidden beast` number, since 3 + 8 + 52 + 582 + 9 + 12 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 132708949 + ... + 132711851.

Almost surely, 2^385258291200 is an apocalyptic number.

385258291200 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 385258291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713871910092).

385258291200 is an abundant number, since it is smaller than the sum of its proper divisors (1042485528984).

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

385258291200 is an frugal number, since it uses more digits than its factorization.

385258291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 385258291200 in words is "three hundred eighty-five billion, two hundred fifty-eight million, two hundred ninety-one thousand, two hundred".