85874350027380 has 384 divisors, whose sum is σ = 258684233472000. Its totient is φ = 21222926899200.

The previous prime is 85874350027357. The next prime is 85874350027381. The reversal of 85874350027380 is 8372005347858.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85874350027381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3235766151 + ... + 3235792689.

It is an arithmetic number, because the mean of its divisors is an integer number (673656858000).

Almost surely, 2^{85874350027380} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85874350027380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129342116736000).

85874350027380 is an abundant number, since it is smaller than the sum of its proper divisors (172809883444620).

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

85874350027380 is a wasteful number, since it uses less digits than its factorization.

85874350027380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27007 (or 27005 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 85874350027380 in words is "eighty-five trillion, eight hundred seventy-four billion, three hundred fifty million, twenty-seven thousand, three hundred eighty".