852610481049600 has 9984 divisors, whose sum is σ = 4352091208335360. Its totient is φ = 160434770411520.

The previous prime is 852610481049571. The next prime is 852610481049601. The reversal of 852610481049600 is 6940184016258.

852610481049600 is a `hidden beast` number, since 8 + 5 + 2 + 6 + 10 + 4 + 8 + 10 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (9984).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852610481049601) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7968322252747 + ... + 7968322252853.

Almost surely, 2^{852610481049600} is an apocalyptic number.

852610481049600 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 852610481049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176045604167680).

852610481049600 is an abundant number, since it is smaller than the sum of its proper divisors (3499480727285760).

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

852610481049600 is a wasteful number, since it uses less digits than its factorization.

852610481049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 852610481049600 in words is "eight hundred fifty-two trillion, six hundred ten billion, four hundred eighty-one million, forty-nine thousand, six hundred".