285238886400 has 1008 divisors, whose sum is σ = 1165009323520. Its totient is φ = 67947724800.

The previous prime is 285238886381. The next prime is 285238886479. The reversal of 285238886400 is 4688832582.

285238886400 is a `hidden beast` number, since 2 + 85 + 2 + 3 + 88 + 86 + 400 = 666.

It is a super-2 number, since 2×285238886400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9201254385 + ... + 9201254415.

Almost surely, 2^285238886400 is an apocalyptic number.

285238886400 is a gapful number since it is divisible by the number (20) 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 285238886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582504661760).

285238886400 is an abundant number, since it is smaller than the sum of its proper divisors (879770437120).

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

285238886400 is an frugal number, since it uses more digits than its factorization.

285238886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 285238886400 in words is "two hundred eighty-five billion, two hundred thirty-eight million, eight hundred eighty-six thousand, four hundred".