855964449600 has 504 divisors, whose sum is σ = 3086497764000. Its totient is φ = 207541002240.

The previous prime is 855964449569. The next prime is 855964449611. The reversal of 855964449600 is 6944469558.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54342526 + ... + 54358274.

It is an arithmetic number, because the mean of its divisors is an integer number (6124003500).

Almost surely, 2^855964449600 is an apocalyptic number.

855964449600 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 855964449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543248882000).

855964449600 is an abundant number, since it is smaller than the sum of its proper divisors (2230533314400).

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

855964449600 is a wasteful number, since it uses less digits than its factorization.

855964449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15867 (or 15839 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 855964449600 in words is "eight hundred fifty-five billion, nine hundred sixty-four million, four hundred forty-nine thousand, six hundred".