820579851648 has 96 divisors (see below), whose sum is σ = 2364484533840. Its totient is φ = 273158194176.

The previous prime is 820579851601. The next prime is 820579851653. The reversal of 820579851648 is 846158975028.

820579851648 is a `hidden beast` number, since 8 + 2 + 0 + 5 + 79 + 8 + 516 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376590 + ... + 1335282.

Almost surely, 2^820579851648 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 820579851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182242266920).

820579851648 is an abundant number, since it is smaller than the sum of its proper divisors (1543904682192).

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

820579851648 is a wasteful number, since it uses less digits than its factorization.

820579851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959456 (or 959441 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 820579851648 in words is "eight hundred twenty billion, five hundred seventy-nine million, eight hundred fifty-one thousand, six hundred forty-eight".