856455612480 has 1120 divisors, whose sum is σ = 3435048207360. Its totient is φ = 201149153280.

The previous prime is 856455612479. The next prime is 856455612499. The reversal of 856455612480 is 84216554658.

856455612480 is a `hidden beast` number, since 8 + 5 + 6 + 4 + 556 + 1 + 2 + 4 + 80 = 666.

It is a super-2 number, since 2×856455612480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 649321261 + ... + 649322579.

It is an arithmetic number, because the mean of its divisors is an integer number (3067007328).

Almost surely, 2^856455612480 is an apocalyptic number.

856455612480 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 856455612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717524103680).

856455612480 is an abundant number, since it is smaller than the sum of its proper divisors (2578592594880).

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

856455612480 is a wasteful number, since it uses less digits than its factorization.

856455612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 856455612480 in words is "eight hundred fifty-six billion, four hundred fifty-five million, six hundred twelve thousand, four hundred eighty".