853166268900 has 567 divisors, whose sum is σ = 3060913068409. Its totient is φ = 206163144000.

The previous prime is 853166268841. The next prime is 853166268901. The reversal of 853166268900 is 9862661358.

It is a happy number.

The square root of 853166268900 is 923670.

It is a perfect power (a square), and thus also a powerful number.

853166268900 is a `hidden beast` number, since 8 + 5 + 3 + 1 + 6 + 626 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 307139856804 + 546026412096 = 554202^2 + 738936^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (853166268901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2743299745 + ... + 2743300055.

Almost surely, 2^853166268900 is an apocalyptic number.

853166268900 is the 923670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853166268900

853166268900 is an abundant number, since it is smaller than the sum of its proper divisors (2207746799509).

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

853166268900 is a wasteful number, since it uses less digits than its factorization.

853166268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 853166268900 in words is "eight hundred fifty-three billion, one hundred sixty-six million, two hundred sixty-eight thousand, nine hundred".