285196315530240 has 880 divisors, whose sum is σ = 1096924208217552. Its totient is φ = 70598025805824.

The previous prime is 285196315530227. The next prime is 285196315530263. The reversal of 285196315530240 is 42035513691582.

285196315530240 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 9 + 63 + 1 + 5 + 530 + 2 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6567041765376 + 278629273764864 = 2562624^2 + 16692192^2 .

It is a super-3 number, since 3×285196315530240³ (a number of 44 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 514390452 + ... + 514944588.

Almost surely, 2^{285196315530240} is an apocalyptic number.

285196315530240 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 285196315530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548462104108776).

285196315530240 is an abundant number, since it is smaller than the sum of its proper divisors (811727892687312).

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

285196315530240 is a wasteful number, since it uses less digits than its factorization.

285196315530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554264 (or 554237 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 285196315530240 in words is "two hundred eighty-five trillion, one hundred ninety-six billion, three hundred fifteen million, five hundred thirty thousand, two hundred forty".