853079220000 has 810 divisors, whose sum is σ = 3537767191959. Its totient is φ = 194362560000.

The previous prime is 853079219989. The next prime is 853079220017. The reversal of 853079220000 is 22970358.

It is a happy number.

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.

It can be written as a sum of positive squares in 3 ways, for example, as 197231915664 + 655847304336 = 444108^2 + 809844^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=653100.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2743019845 + ... + 2743020155.

Almost surely, 2^853079220000 is an apocalyptic number.

853079220000 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 853079220000

853079220000 is an abundant number, since it is smaller than the sum of its proper divisors (2684687971959).

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

853079220000 is an equidigital number, since it uses as much as digits as its factorization.

853079220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 853079220000 in words is "eight hundred fifty-three billion, seventy-nine million, two hundred twenty thousand".