285630993048960 has 640 divisors, whose sum is σ = 1125297352539360. Its totient is φ = 68594303139840.

The previous prime is 285630993048941. The next prime is 285630993048977. The reversal of 285630993048960 is 69840399036582.

285630993048960 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 309 + 9 + 304 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 22461999 + ... + 32799441.

Almost surely, 2^{285630993048960} is an apocalyptic number.

285630993048960 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 285630993048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562648676269680).

285630993048960 is an abundant number, since it is smaller than the sum of its proper divisors (839666359490400).

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

285630993048960 is a wasteful number, since it uses less digits than its factorization.

285630993048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10337528 (or 10337507 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 285630993048960 in words is "two hundred eighty-five trillion, six hundred thirty billion, nine hundred ninety-three million, forty-eight thousand, nine hundred sixty".