852755904000 has 5120 divisors, whose sum is σ = 4632903475200. Its totient is φ = 148635648000.

The previous prime is 852755903981. The next prime is 852755904001. The reversal of 852755904000 is 409557258.

852755904000 is a `hidden beast` number, since 8 + 52 + 7 + 5 + 590 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852755904001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 29405375986 + ... + 29405376014.

It is an arithmetic number, because the mean of its divisors is an integer number (904863960).

Almost surely, 2^852755904000 is an apocalyptic number.

852755904000 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 852755904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316451737600).

852755904000 is an abundant number, since it is smaller than the sum of its proper divisors (3780147571200).

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

852755904000 is a wasteful number, since it uses less digits than its factorization.

852755904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 852755904000 in words is "eight hundred fifty-two billion, seven hundred fifty-five million, nine hundred four thousand".