854998550784 has 540 divisors, whose sum is σ = 3021834558204. Its totient is φ = 239661047808.

The previous prime is 854998550711. The next prime is 854998550801. The reversal of 854998550784 is 487055899458.

854998550784 is a `hidden beast` number, since 8 + 5 + 499 + 8 + 5 + 50 + 7 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 786839961600 + 68158589184 = 887040^2 + 261072^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53843454 + ... + 53859330.

Almost surely, 2^854998550784 is an apocalyptic number.

854998550784 is a gapful number since it is divisible by the number (84) 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 854998550784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510917279102).

854998550784 is an abundant number, since it is smaller than the sum of its proper divisors (2166836007420).

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

854998550784 is a wasteful number, since it uses less digits than its factorization.

854998550784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15972 (or 15942 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 854998550784 in words is "eight hundred fifty-four billion, nine hundred ninety-eight million, five hundred fifty thousand, seven hundred eighty-four".