853528205440 has 32 divisors (see below), whose sum is σ = 2040465867660. Its totient is φ = 341411281920.

The previous prime is 853528205429. The next prime is 853528205441. The reversal of 853528205440 is 44502825358.

It can be written as a sum of positive squares in 2 ways, for example, as 779208721984 + 74319483456 = 882728^2 + 272616^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (853528205441) 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 3 ways as a sum of consecutive naturals, for example, 666818271 + ... + 666819550.

Almost surely, 2^853528205440 is an apocalyptic number.

853528205440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

853528205440 is an abundant number, since it is smaller than the sum of its proper divisors (1186937662220).

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

853528205440 is a wasteful number, since it uses less digits than its factorization.

853528205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333637840 (or 1333637828 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 46.

The spelling of 853528205440 in words is "eight hundred fifty-three billion, five hundred twenty-eight million, two hundred five thousand, four hundred forty".