385658956800 has 792 divisors, whose sum is σ = 1495387049520. Its totient is φ = 94401331200.

The previous prime is 385658956799. The next prime is 385658956849. The reversal of 385658956800 is 8659856583.

385658956800 is a `hidden beast` number, since 3 + 8 + 5 + 65 + 8 + 9 + 568 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 991411006 + ... + 991411394.

Almost surely, 2^385658956800 is an apocalyptic number.

385658956800 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 385658956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747693524760).

385658956800 is an abundant number, since it is smaller than the sum of its proper divisors (1109728092720).

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

385658956800 is a wasteful number, since it uses less digits than its factorization.

385658956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 385658956800 in words is "three hundred eighty-five billion, six hundred fifty-eight million, nine hundred fifty-six thousand, eight hundred".