855417214080 has 1536 divisors, whose sum is σ = 3698555904000. Its totient is φ = 185031475200.

The previous prime is 855417214039. The next prime is 855417214123. The reversal of 855417214080 is 80412714558.

855417214080 is a `hidden beast` number, since 8 + 5 + 541 + 7 + 21 + 4 + 0 + 80 = 666.

It is a super-2 number, since 2×855417214080² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 995828691 + ... + 995829549.

It is an arithmetic number, because the mean of its divisors is an integer number (2407914000).

Almost surely, 2^855417214080 is an apocalyptic number.

855417214080 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 855417214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849277952000).

855417214080 is an abundant number, since it is smaller than the sum of its proper divisors (2843138689920).

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

855417214080 is a wasteful number, since it uses less digits than its factorization.

855417214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 855417214080 in words is "eight hundred fifty-five billion, four hundred seventeen million, two hundred fourteen thousand, eighty".