854829054720 has 1296 divisors, whose sum is σ = 3388034587392. Its totient is φ = 205943316480.

The previous prime is 854829054719. The next prime is 854829054749. The reversal of 854829054720 is 27450928458.

854829054720 is a `hidden beast` number, since 8 + 5 + 4 + 8 + 2 + 90 + 547 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2582564955 + ... + 2582565285.

Almost surely, 2^854829054720 is an apocalyptic number.

854829054720 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 854829054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694017293696).

854829054720 is an abundant number, since it is smaller than the sum of its proper divisors (2533205532672).

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

854829054720 is a wasteful number, since it uses less digits than its factorization.

854829054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 854829054720 in words is "eight hundred fifty-four billion, eight hundred twenty-nine million, fifty-four thousand, seven hundred twenty".