855362860800 has 1728 divisors, whose sum is σ = 3660569708544. Its totient is φ = 171284889600.

The previous prime is 855362860787. The next prime is 855362860811. The reversal of 855362860800 is 8068263558.

It is a super-3 number, since 3×855362860800³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 191 ways as a sum of consecutive naturals, for example, 2154566202 + ... + 2154566598.

It is an arithmetic number, because the mean of its divisors is an integer number (2118385248).

Almost surely, 2^855362860800 is an apocalyptic number.

855362860800 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 855362860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830284854272).

855362860800 is an abundant number, since it is smaller than the sum of its proper divisors (2805206847744).

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

855362860800 is a wasteful number, since it uses less digits than its factorization.

855362860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 855362860800 in words is "eight hundred fifty-five billion, three hundred sixty-two million, eight hundred sixty thousand, eight hundred".