852977907763668 has 288 divisors, whose sum is σ = 2239617929028480. Its totient is φ = 273538450944000.

The previous prime is 852977907763649. The next prime is 852977907763673. The reversal of 852977907763668 is 866367709779258.

It is a happy number.

852977907763668 is a `hidden beast` number, since 8 + 5 + 2 + 97 + 7 + 90 + 7 + 76 + 366 + 8 = 666.

It is a super-2 number, since 2×852977907763668² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30505973208 + ... + 30506001168.

It is an arithmetic number, because the mean of its divisors is an integer number (7776451142460).

Almost surely, 2^{852977907763668} 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 852977907763668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119808964514240).

852977907763668 is an abundant number, since it is smaller than the sum of its proper divisors (1386640021264812).

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

852977907763668 is a wasteful number, since it uses less digits than its factorization.

852977907763668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28999 (or 28994 counting only the distinct ones).

The product of its (nonzero) digits is 80655160320, while the sum is 90.

The spelling of 852977907763668 in words is "eight hundred fifty-two trillion, nine hundred seventy-seven billion, nine hundred seven million, seven hundred sixty-three thousand, six hundred sixty-eight".