854455361760 has 3072 divisors, whose sum is σ = 4284050964480. Its totient is φ = 154557849600.

The previous prime is 854455361741. The next prime is 854455361791. The reversal of 854455361760 is 67163554458.

It is a happy number.

854455361760 is a `hidden beast` number, since 8 + 5 + 4 + 45 + 536 + 1 + 7 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 854455361697 and 854455361706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 12034582525 + ... + 12034582595.

It is an arithmetic number, because the mean of its divisors is an integer number (1394547840).

Almost surely, 2^854455361760 is an apocalyptic number.

854455361760 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 854455361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142025482240).

854455361760 is an abundant number, since it is smaller than the sum of its proper divisors (3429595602720).

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

854455361760 is a wasteful number, since it uses less digits than its factorization.

854455361760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 854455361760 in words is "eight hundred fifty-four billion, four hundred fifty-five million, three hundred sixty-one thousand, seven hundred sixty".