820428276096 has 1536 divisors, whose sum is σ = 3099559680000. Its totient is φ = 212786196480.

The previous prime is 820428276089. The next prime is 820428276097. The reversal of 820428276096 is 690672824028.

820428276096 is a `hidden beast` number, since 8 + 2 + 0 + 4 + 2 + 8 + 27 + 609 + 6 = 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 (820428276097) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17455920745 + ... + 17455920791.

It is an arithmetic number, because the mean of its divisors is an integer number (2017942500).

Almost surely, 2^820428276096 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 820428276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549779840000).

820428276096 is an abundant number, since it is smaller than the sum of its proper divisors (2279131403904).

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

820428276096 is a wasteful number, since it uses less digits than its factorization.

820428276096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 820428276096 in words is "eight hundred twenty billion, four hundred twenty-eight million, two hundred seventy-six thousand, ninety-six".