852380465630400 has 1344 divisors, whose sum is σ = 3795911506114560. Its totient is φ = 181813557657600.

The previous prime is 852380465630387. The next prime is 852380465630443. The reversal of 852380465630400 is 4036564083258.

852380465630400 is a `hidden beast` number, since 8 + 5 + 2 + 3 + 80 + 465 + 63 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 283668652 + ... + 286657748.

It is an arithmetic number, because the mean of its divisors is an integer number (2824338918240).

Almost surely, 2^{852380465630400} is an apocalyptic number.

852380465630400 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 852380465630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897955753057280).

852380465630400 is an abundant number, since it is smaller than the sum of its proper divisors (2943531040484160).

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

852380465630400 is a wasteful number, since it uses less digits than its factorization.

852380465630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989199 (or 2989178 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 852380465630400 in words is "eight hundred fifty-two trillion, three hundred eighty billion, four hundred sixty-five million, six hundred thirty thousand, four hundred".