854677201920 has 352 divisors, whose sum is σ = 2840739741696. Its totient is φ = 219082752000.

The previous prime is 854677201877. The next prime is 854677201991. The reversal of 854677201920 is 29102776458.

It is a happy number.

It is a super-3 number, since 3×854677201920³ (a number of 37 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 71894217 + ... + 71906103.

Almost surely, 2^854677201920 is an apocalyptic number.

854677201920 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 854677201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420369870848).

854677201920 is an abundant number, since it is smaller than the sum of its proper divisors (1986062539776).

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

854677201920 is a wasteful number, since it uses less digits than its factorization.

854677201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12097 (or 12079 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 854677201920 in words is "eight hundred fifty-four billion, six hundred seventy-seven million, two hundred one thousand, nine hundred twenty".