385774202880 has 1144 divisors, whose sum is σ = 1567083116880. Its totient is φ = 90296156160.

The previous prime is 385774202837. The next prime is 385774202899. The reversal of 385774202880 is 88202477583.

385774202880 is a `hidden beast` number, since 3 + 8 + 577 + 42 + 0 + 28 + 8 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 13302558706 + ... + 13302558734.

Almost surely, 2^385774202880 is an apocalyptic number.

385774202880 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 385774202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783541558440).

385774202880 is an abundant number, since it is smaller than the sum of its proper divisors (1181308914000).

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

385774202880 is an frugal number, since it uses more digits than its factorization.

385774202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 385774202880 in words is "three hundred eighty-five billion, seven hundred seventy-four million, two hundred two thousand, eight hundred eighty".