853070400000 has 2880 divisors, whose sum is σ = 4081508766720. Its totient is φ = 174182400000.

The previous prime is 853070399983. The next prime is 853070400019. The reversal of 853070400000 is 4070358.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27518399985 + ... + 27518400015.

It is an arithmetic number, because the mean of its divisors is an integer number (1417190544).

Almost surely, 2^853070400000 is an apocalyptic number.

853070400000 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 853070400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040754383360).

853070400000 is an abundant number, since it is smaller than the sum of its proper divisors (3228438366720).

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

853070400000 is an equidigital number, since it uses as much as digits as its factorization.

853070400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 853070400000 its reverse (4070358), we get a palindrome (853074470358).

The spelling of 853070400000 in words is "eight hundred fifty-three billion, seventy million, four hundred thousand".