855405420480 has 896 divisors, whose sum is σ = 3477460761600. Its totient is φ = 196179148800.

The previous prime is 855405420431. The next prime is 855405420497. The reversal of 855405420480 is 84024504558.

855405420480 is a `hidden beast` number, since 8 + 5 + 540 + 5 + 4 + 20 + 4 + 80 = 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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130175595 + ... + 130182165.

It is an arithmetic number, because the mean of its divisors is an integer number (3881094600).

Almost surely, 2^855405420480 is an apocalyptic number.

855405420480 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 855405420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738730380800).

855405420480 is an abundant number, since it is smaller than the sum of its proper divisors (2622055341120).

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

855405420480 is a wasteful number, since it uses less digits than its factorization.

855405420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 855405420480 in words is "eight hundred fifty-five billion, four hundred five million, four hundred twenty thousand, four hundred eighty".