85875174000 has 1280 divisors, whose sum is σ = 404088422400. Its totient is φ = 16889472000.

The previous prime is 85875173977. The next prime is 85875174017. The reversal of 85875174000 is 47157858.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79001457 + ... + 79002543.

It is an arithmetic number, because the mean of its divisors is an integer number (315694080).

Almost surely, 2^85875174000 is an apocalyptic number.

85875174000 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 85875174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202044211200).

85875174000 is an abundant number, since it is smaller than the sum of its proper divisors (318213248400).

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

85875174000 is a wasteful number, since it uses less digits than its factorization.

85875174000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 85875174000 in words is "eighty-five billion, eight hundred seventy-five million, one hundred seventy-four thousand".