85387714104 has 384 divisors, whose sum is σ = 297450662400. Its totient is φ = 19772743680.

The previous prime is 85387714091. The next prime is 85387714129. The reversal of 85387714104 is 40141778358.

It is a congruent number.

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, 11337412 + ... + 11344940.

It is an arithmetic number, because the mean of its divisors is an integer number (774611100).

Almost surely, 2^85387714104 is an apocalyptic number.

85387714104 is a gapful number since it is divisible by the number (84) 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 85387714104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148725331200).

85387714104 is an abundant number, since it is smaller than the sum of its proper divisors (212062948296).

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

85387714104 is a wasteful number, since it uses less digits than its factorization.

85387714104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7611 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 85387714104 in words is "eighty-five billion, three hundred eighty-seven million, seven hundred fourteen thousand, one hundred four".