85018847477760 has 2432 divisors, whose sum is σ = 369795978854400. Its totient is φ = 18327539810304.

The previous prime is 85018847477723. The next prime is 85018847477789. The reversal of 85018847477760 is 6777474881058.

85018847477760 is a `hidden beast` number, since 8 + 5 + 0 + 1 + 8 + 84 + 7 + 477 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 381250437009 + ... + 381250437231.

Almost surely, 2^{85018847477760} is an apocalyptic number.

85018847477760 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 85018847477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184897989427200).

85018847477760 is an abundant number, since it is smaller than the sum of its proper divisors (284777131376640).

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

85018847477760 is an frugal number, since it uses more digits than its factorization.

85018847477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 590069760, while the sum is 72.

The spelling of 85018847477760 in words is "eighty-five trillion, eighteen billion, eight hundred forty-seven million, four hundred seventy-seven thousand, seven hundred sixty".