855711014400 has 720 divisors, whose sum is σ = 3372505538688. Its totient is φ = 205473792000.

The previous prime is 855711014387. The next prime is 855711014449. The reversal of 855711014400 is 4410117558.

855711014400 is a `hidden beast` number, since 85 + 5 + 71 + 101 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135587245 + ... + 135593555.

Almost surely, 2^855711014400 is an apocalyptic number.

855711014400 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 855711014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686252769344).

855711014400 is an abundant number, since it is smaller than the sum of its proper divisors (2516794524288).

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

855711014400 is a wasteful number, since it uses less digits than its factorization.

855711014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 855711014400 in words is "eight hundred fifty-five billion, seven hundred eleven million, fourteen thousand, four hundred".