852302103552 has 704 divisors, whose sum is σ = 2757424942080. Its totient is φ = 262288834560.

The previous prime is 852302103551. The next prime is 852302103557. The reversal of 852302103552 is 255301203258.

852302103552 is a `hidden beast` number, since 8 + 52 + 30 + 21 + 0 + 3 + 552 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (852302103551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2322348873 + ... + 2322349239.

Almost surely, 2^852302103552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852302103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378712471040).

852302103552 is an abundant number, since it is smaller than the sum of its proper divisors (1905122838528).

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

852302103552 is an equidigital number, since it uses as much as digits as its factorization.

852302103552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 852302103552 in words is "eight hundred fifty-two billion, three hundred two million, one hundred three thousand, five hundred fifty-two".