850508172900 has 135 divisors (see below), whose sum is σ = 2757280575049. Its totient is φ = 226780045920.

The previous prime is 850508172847. The next prime is 850508172961. The reversal of 850508172900 is 9271805058.

It is a happy number.

The square root of 850508172900 is 922230.

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

850508172900 is a `hidden beast` number, since 8 + 50 + 508 + 1 + 7 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306182942244 + 544325230656 = 553338^2 + 737784^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

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, 82995577 + ... + 83005823.

Almost surely, 2^850508172900 is an apocalyptic number.

850508172900 is the 922230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850508172900

850508172900 is an abundant number, since it is smaller than the sum of its proper divisors (1906772402149).

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

850508172900 is an equidigital number, since it uses as much as digits as its factorization.

850508172900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20520 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

Adding to 850508172900 its reverse (9271805058), we get a palindrome (859779977958).

The spelling of 850508172900 in words is "eight hundred fifty billion, five hundred eight million, one hundred seventy-two thousand, nine hundred".