853406555400 has 960 divisors, whose sum is σ = 3478160062080. Its totient is φ = 189908582400.

The previous prime is 853406555381. The next prime is 853406555401. The reversal of 853406555400 is 4555604358.

853406555400 is a `hidden beast` number, since 8 + 5 + 3 + 40 + 65 + 5 + 540 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (853406555401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 740161224 + ... + 740162376.

It is an arithmetic number, because the mean of its divisors is an integer number (3623083398).

Almost surely, 2^853406555400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853406555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739080031040).

853406555400 is an abundant number, since it is smaller than the sum of its proper divisors (2624753506680).

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

853406555400 is a wasteful number, since it uses less digits than its factorization.

853406555400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 853406555400 in words is "eight hundred fifty-three billion, four hundred six million, five hundred fifty-five thousand, four hundred".