852425835600 has 180 divisors, whose sum is σ = 2821533332928. Its totient is φ = 219980563200.

The previous prime is 852425835581. The next prime is 852425835601. The reversal of 852425835600 is 6538524258.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 852425835600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852425835601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 783609 + ... + 1522791.

Almost surely, 2^852425835600 is an apocalyptic number.

852425835600 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 852425835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410766666464).

852425835600 is an abundant number, since it is smaller than the sum of its proper divisors (1969107497328).

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

852425835600 is a wasteful number, since it uses less digits than its factorization.

852425835600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739266 (or 739224 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 852425835600 in words is "eight hundred fifty-two billion, four hundred twenty-five million, eight hundred thirty-five thousand, six hundred".