85419041760 has 1152 divisors, whose sum is σ = 349417635840. Its totient is φ = 18811699200.

The previous prime is 85419041731. The next prime is 85419041761. The reversal of 85419041760 is 6714091458.

85419041760 is a `hidden beast` number, since 8 + 541 + 9 + 0 + 41 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85419041761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 672590817 + ... + 672590943.

It is an arithmetic number, because the mean of its divisors is an integer number (303313920).

Almost surely, 2^85419041760 is an apocalyptic number.

85419041760 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 85419041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174708817920).

85419041760 is an abundant number, since it is smaller than the sum of its proper divisors (263998594080).

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

85419041760 is a wasteful number, since it uses less digits than its factorization.

85419041760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 85419041760 in words is "eighty-five billion, four hundred nineteen million, forty-one thousand, seven hundred sixty".