85390581760 has 224 divisors, whose sum is σ = 226478592000. Its totient is φ = 30645288960.

The previous prime is 85390581743. The next prime is 85390581763. The reversal of 85390581760 is 6718509358.

It is a super-3 number, since 3×85390581760³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 85390581698 and 85390581707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85390581763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35593041 + ... + 35595439.

Almost surely, 2^85390581760 is an apocalyptic number.

85390581760 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 85390581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113239296000).

85390581760 is an abundant number, since it is smaller than the sum of its proper divisors (141088010240).

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

85390581760 is a wasteful number, since it uses less digits than its factorization.

85390581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 85390581760 in words is "eighty-five billion, three hundred ninety million, five hundred eighty-one thousand, seven hundred sixty".