855036518400 has 1344 divisors, whose sum is σ = 3358300055040. Its totient is φ = 215468605440.

The previous prime is 855036518383. The next prime is 855036518419. The reversal of 855036518400 is 4815630558.

855036518400 is a `hidden beast` number, since 8 + 5 + 503 + 65 + 1 + 84 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10301644759 + ... + 10301644841.

It is an arithmetic number, because the mean of its divisors is an integer number (2498735160).

Almost surely, 2^855036518400 is an apocalyptic number.

855036518400 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 855036518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679150027520).

855036518400 is an abundant number, since it is smaller than the sum of its proper divisors (2503263536640).

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

855036518400 is an frugal number, since it uses more digits than its factorization.

855036518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 855036518400 in words is "eight hundred fifty-five billion, thirty-six million, five hundred eighteen thousand, four hundred".