854709649920 has 480 divisors, whose sum is σ = 3531687350400. Its totient is φ = 195361431552.

The previous prime is 854709649891. The next prime is 854709649931. The reversal of 854709649920 is 29946907458.

854709649920 is a `hidden beast` number, since 8 + 54 + 7 + 0 + 96 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3260701 + ... + 3513059.

It is an arithmetic number, because the mean of its divisors is an integer number (7357681980).

Almost surely, 2^854709649920 is an apocalyptic number.

854709649920 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 854709649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765843675200).

854709649920 is an abundant number, since it is smaller than the sum of its proper divisors (2676977700480).

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

854709649920 is a wasteful number, since it uses less digits than its factorization.

854709649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252405 (or 252376 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 854709649920 in words is "eight hundred fifty-four billion, seven hundred nine million, six hundred forty-nine thousand, nine hundred twenty".