852809514984 has 96 divisors (see below), whose sum is σ = 2755677038400. Its totient is φ = 243659858400.

The previous prime is 852809514971. The next prime is 852809514989. The reversal of 852809514984 is 489415908258.

852809514984 is a `hidden beast` number, since 8 + 5 + 28 + 0 + 9 + 514 + 98 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (852809514989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40277092 + ... + 40298259.

It is an arithmetic number, because the mean of its divisors is an integer number (28704969150).

Almost surely, 2^852809514984 is an apocalyptic number.

852809514984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

852809514984 is an abundant number, since it is smaller than the sum of its proper divisors (1902867523416).

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

852809514984 is a wasteful number, since it uses less digits than its factorization.

852809514984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80575380 (or 80575363 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 852809514984 in words is "eight hundred fifty-two billion, eight hundred nine million, five hundred fourteen thousand, nine hundred eighty-four".