85984905214080 has 1408 divisors, whose sum is σ = 324004143787200. Its totient is φ = 21789591183360.

The previous prime is 85984905214049. The next prime is 85984905214111. The reversal of 85984905214080 is 8041250948958.

85984905214080 is a `hidden beast` number, since 8 + 5 + 9 + 8 + 490 + 5 + 21 + 40 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (85984905214049) and next prime (85984905214111).

It is a junction number, because it is equal to n+sod(n) for n = 85984905213999 and 85984905214017.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 73428611895 + ... + 73428613065.

Almost surely, 2^{85984905214080} is an apocalyptic number.

85984905214080 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 85984905214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162002071893600).

85984905214080 is an abundant number, since it is smaller than the sum of its proper divisors (238019238573120).

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

85984905214080 is an equidigital number, since it uses as much as digits as its factorization.

85984905214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 85984905214080 in words is "eighty-five trillion, nine hundred eighty-four billion, nine hundred five million, two hundred fourteen thousand, eighty".