828696960000 has 3520 divisors, whose sum is σ = 4125431439360. Its totient is φ = 159252480000.

The previous prime is 828696959957. The next prime is 828696960001. The reversal of 828696960000 is 69696828.

828696960000 is a `hidden beast` number, since 8 + 28 + 6 + 9 + 6 + 9 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828696960001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26732159985 + ... + 26732160015.

It is an arithmetic number, because the mean of its divisors is an integer number (1171997568).

Almost surely, 2^828696960000 is an apocalyptic number.

828696960000 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 828696960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062715719680).

828696960000 is an abundant number, since it is smaller than the sum of its proper divisors (3296734479360).

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

828696960000 is a wasteful number, since it uses less digits than its factorization.

828696960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 828696960000 in words is "eight hundred twenty-eight billion, six hundred ninety-six million, nine hundred sixty thousand".