85438697760 has 576 divisors, whose sum is σ = 321908041728. Its totient is φ = 20507738112.

The previous prime is 85438697719. The next prime is 85438697777. The reversal of 85438697760 is 6779683458.

85438697760 is a `hidden beast` number, since 8 + 543 + 86 + 9 + 7 + 7 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140755377 + ... + 140755983.

It is an arithmetic number, because the mean of its divisors is an integer number (558868128).

Almost surely, 2^85438697760 is an apocalyptic number.

85438697760 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 85438697760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160954020864).

85438697760 is an abundant number, since it is smaller than the sum of its proper divisors (236469343968).

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

85438697760 is a wasteful number, since it uses less digits than its factorization.

85438697760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 85438697760 in words is "eighty-five billion, four hundred thirty-eight million, six hundred ninety-seven thousand, seven hundred sixty".