852665425920 has 3584 divisors, whose sum is σ = 4348388966400. Its totient is φ = 152882380800.

The previous prime is 852665425919. The next prime is 852665425949. The reversal of 852665425920 is 29524566258.

It is a happy number.

852665425920 is a `hidden beast` number, since 8 + 5 + 2 + 6 + 6 + 5 + 42 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27505336305 + ... + 27505336335.

Almost surely, 2^852665425920 is an apocalyptic number.

852665425920 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 852665425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174194483200).

852665425920 is an abundant number, since it is smaller than the sum of its proper divisors (3495723540480).

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

852665425920 is a wasteful number, since it uses less digits than its factorization.

852665425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 852665425920 in words is "eight hundred fifty-two billion, six hundred sixty-five million, four hundred twenty-five thousand, nine hundred twenty".