820472717952 has 192 divisors, whose sum is σ = 2586082285800. Its totient is φ = 248527060992.

The previous prime is 820472717899. The next prime is 820472717959. The reversal of 820472717952 is 259717274028.

820472717952 is a `hidden beast` number, since 82 + 0 + 472 + 7 + 1 + 7 + 95 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 813849362496 + 6623355456 = 902136^2 + 81384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (820472717959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154393 + ... + 1290264.

Almost surely, 2^820472717952 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 820472717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293041142900).

820472717952 is an abundant number, since it is smaller than the sum of its proper divisors (1765609567848).

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

820472717952 is a wasteful number, since it uses less digits than its factorization.

820472717952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444723 (or 1444708 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 820472717952 in words is "eight hundred twenty billion, four hundred seventy-two million, seven hundred seventeen thousand, nine hundred fifty-two".