853461366800 has 240 divisors, whose sum is σ = 2380814796672. Its totient is φ = 287956684800.

The previous prime is 853461366773. The next prime is 853461366851. The reversal of 853461366800 is 8663164358.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95450330 + ... + 95459270.

Almost surely, 2^853461366800 is an apocalyptic number.

853461366800 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 853461366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190407398336).

853461366800 is an abundant number, since it is smaller than the sum of its proper divisors (1527353429872).

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

853461366800 is a wasteful number, since it uses less digits than its factorization.

853461366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 853461366800 in words is "eight hundred fifty-three billion, four hundred sixty-one million, three hundred sixty-six thousand, eight hundred".