827288478720 has 2112 divisors, whose sum is σ = 3619845365760. Its totient is φ = 171992678400.

The previous prime is 827288478677. The next prime is 827288478733. The reversal of 827288478720 is 27874882728.

827288478720 is a `hidden beast` number, since 82 + 7 + 2 + 88 + 478 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5075389359 + ... + 5075389521.

Almost surely, 2^827288478720 is an apocalyptic number.

827288478720 is a gapful number since it is divisible by the number (80) 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 827288478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809922682880).

827288478720 is an abundant number, since it is smaller than the sum of its proper divisors (2792556887040).

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

827288478720 is a wasteful number, since it uses less digits than its factorization.

827288478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 44957696, while the sum is 63.

The spelling of 827288478720 in words is "eight hundred twenty-seven billion, two hundred eighty-eight million, four hundred seventy-eight thousand, seven hundred twenty".