828116659251000 has 1152 divisors, whose sum is σ = 3479389331558400. Its totient is φ = 173536696512000.

The previous prime is 828116659250989. The next prime is 828116659251041. The reversal of 828116659251000 is 152956611828.

828116659251000 is a `hidden beast` number, since 8 + 2 + 8 + 11 + 66 + 59 + 2 + 510 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1149957049 + ... + 1150676951.

It is an arithmetic number, because the mean of its divisors is an integer number (3020303239200).

Almost surely, 2^{828116659251000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828116659251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739694665779200).

828116659251000 is an abundant number, since it is smaller than the sum of its proper divisors (2651272672307400).

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

828116659251000 is a wasteful number, since it uses less digits than its factorization.

828116659251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720018 (or 719970 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 828116659251000 in words is "eight hundred twenty-eight trillion, one hundred sixteen billion, six hundred fifty-nine million, two hundred fifty-one thousand".