285241778640 has 1120 divisors, whose sum is σ = 1242661464576. Its totient is φ = 59256852480.

The previous prime is 285241778609. The next prime is 285241778651. The reversal of 285241778640 is 46877142582.

285241778640 is a `hidden beast` number, since 2 + 8 + 524 + 1 + 7 + 78 + 6 + 40 = 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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 376805142 + ... + 376805898.

Almost surely, 2^285241778640 is an apocalyptic number.

285241778640 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 285241778640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621330732288).

285241778640 is an abundant number, since it is smaller than the sum of its proper divisors (957419685936).

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

285241778640 is a wasteful number, since it uses less digits than its factorization.

285241778640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 858 counting only the distinct ones).

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

The spelling of 285241778640 in words is "two hundred eighty-five billion, two hundred forty-one million, seven hundred seventy-eight thousand, six hundred forty".