852461117550 has 288 divisors, whose sum is σ = 2825452730880. Its totient is φ = 179949369600.

The previous prime is 852461117423. The next prime is 852461117581. The reversal of 852461117550 is 55711164258.

852461117550 is a `hidden beast` number, since 8 + 5 + 24 + 61 + 1 + 17 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 852461117496 and 852461117505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1898185 + ... + 2303915.

It is an arithmetic number, because the mean of its divisors is an integer number (9810599760).

Almost surely, 2^852461117550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852461117550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412726365440).

852461117550 is an abundant number, since it is smaller than the sum of its proper divisors (1972991613330).

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

852461117550 is a wasteful number, since it uses less digits than its factorization.

852461117550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405808 (or 405800 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 852461117550 in words is "eight hundred fifty-two billion, four hundred sixty-one million, one hundred seventeen thousand, five hundred fifty".