820688319575 has 24 divisors (see below), whose sum is σ = 1037318915376. Its totient is φ = 643874400000.

The previous prime is 820688319553. The next prime is 820688319601. The reversal of 820688319575 is 575913886028.

It is not a de Polignac number, because 820688319575 - 2¹⁶ = 820688254039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2844995 + ... + 3120155.

It is an arithmetic number, because the mean of its divisors is an integer number (43221621474).

Almost surely, 2^820688319575 is an apocalyptic number.

820688319575 is a deficient number, since it is larger than the sum of its proper divisors (216630595801).

820688319575 is a wasteful number, since it uses less digits than its factorization.

820688319575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277475 (or 277470 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 62.

The spelling of 820688319575 in words is "eight hundred twenty billion, six hundred eighty-eight million, three hundred nineteen thousand, five hundred seventy-five".