85684138896384 has 1144 divisors, whose sum is σ = 298264841430528. Its totient is φ = 24096980459520.

The previous prime is 85684138896353. The next prime is 85684138896407. The reversal of 85684138896384 is 48369883148658.

85684138896384 is a `hidden beast` number, since 8 + 5 + 6 + 8 + 413 + 88 + 96 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 316177634169 + ... + 316177634439.

Almost surely, 2^{85684138896384} is an apocalyptic number.

85684138896384 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 85684138896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149132420715264).

85684138896384 is an abundant number, since it is smaller than the sum of its proper divisors (212580702534144).

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

85684138896384 is an frugal number, since it uses more digits than its factorization.

85684138896384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 366 counting only the distinct ones).

The product of its digits is 7644119040, while the sum is 81.

The spelling of 85684138896384 in words is "eighty-five trillion, six hundred eighty-four billion, one hundred thirty-eight million, eight hundred ninety-six thousand, three hundred eighty-four".