853466565120 has 640 divisors, whose sum is σ = 3046233028608. Its totient is φ = 202427596800.

The previous prime is 853466565113. The next prime is 853466565121. The reversal of 853466565120 is 21565664358.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×853466565120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (853466565121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 968747080 + ... + 968747960.

Almost surely, 2^853466565120 is an apocalyptic number.

853466565120 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 853466565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523116514304).

853466565120 is an abundant number, since it is smaller than the sum of its proper divisors (2192766463488).

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

853466565120 is a wasteful number, since it uses less digits than its factorization.

853466565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 853466565120 in words is "eight hundred fifty-three billion, four hundred sixty-six million, five hundred sixty-five thousand, one hundred twenty".