852883367257440 has 144 divisors (see below), whose sum is σ = 2917377710157456. Its totient is φ = 226895337446400.

The previous prime is 852883367257429. The next prime is 852883367257477. The reversal of 852883367257440 is 44752763388258.

852883367257440 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 8 + 3 + 3 + 6 + 7 + 2 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 702814326 + ... + 704026805.

It is an arithmetic number, because the mean of its divisors is an integer number (20259567431649).

Almost surely, 2^{852883367257440} is an apocalyptic number.

852883367257440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852883367257440 is an abundant number, since it is smaller than the sum of its proper divisors (2064494342900016).

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

852883367257440 is a wasteful number, since it uses less digits than its factorization.

852883367257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406841573 (or 1406841562 counting only the distinct ones).

The product of its (nonzero) digits is 2167603200, while the sum is 72.

The spelling of 852883367257440 in words is "eight hundred fifty-two trillion, eight hundred eighty-three billion, three hundred sixty-seven million, two hundred fifty-seven thousand, four hundred forty".