820896425316 has 48 divisors (see below), whose sum is σ = 2321727266880. Its totient is φ = 248756492160.

The previous prime is 820896425273. The next prime is 820896425317. The reversal of 820896425316 is 613524698028.

820896425316 is a `hidden beast` number, since 8 + 20 + 89 + 6 + 4 + 2 + 531 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (820896425317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345493941 + ... + 345496316.

It is an arithmetic number, because the mean of its divisors is an integer number (48369318060).

Almost surely, 2^820896425316 is an apocalyptic number.

It is an amenable number.

820896425316 is an abundant number, since it is smaller than the sum of its proper divisors (1500830841564).

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

820896425316 is a wasteful number, since it uses less digits than its factorization.

820896425316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690990281 (or 690990273 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 820896425316 in words is "eight hundred twenty billion, eight hundred ninety-six million, four hundred twenty-five thousand, three hundred sixteen".