852667572240 has 720 divisors, whose sum is σ = 3272571417024. Its totient is φ = 198635120640.

The previous prime is 852667572227. The next prime is 852667572287. The reversal of 852667572240 is 42275766258.

852667572240 is a `hidden beast` number, since 8 + 5 + 2 + 6 + 67 + 572 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 267543927 + ... + 267547113.

Almost surely, 2^852667572240 is an apocalyptic number.

852667572240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852667572240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636285708512).

852667572240 is an abundant number, since it is smaller than the sum of its proper divisors (2419903844784).

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

852667572240 is a wasteful number, since it uses less digits than its factorization.

852667572240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 852667572240 in words is "eight hundred fifty-two billion, six hundred sixty-seven million, five hundred seventy-two thousand, two hundred forty".