852295680000 has 900 divisors, whose sum is σ = 3268377866325. Its totient is φ = 213909504000.

The previous prime is 852295679993. The next prime is 852295680013. The reversal of 852295680000 is 86592258.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

852295680000 is a `hidden beast` number, since 85 + 2 + 2 + 9 + 568 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 115605504 + 852180074496 = 10752^2 + 923136^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=652800.

It is a super-2 number, since 2×852295680000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50135039992 + ... + 50135040008.

Almost surely, 2^852295680000 is an apocalyptic number.

852295680000 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 852295680000

852295680000 is an abundant number, since it is smaller than the sum of its proper divisors (2416082186325).

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

852295680000 is an frugal number, since it uses more digits than its factorization.

852295680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 852295680000 in words is "eight hundred fifty-two billion, two hundred ninety-five million, six hundred eighty thousand".